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A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145
- a)Using the given statement, only Conclusion I can be derived.
- b)Using the given statement, only Conclusion II can be derived.
- c)Using the given statement, only Conclusion III can be derived.
- d)Using the given statement, Conclusion I, II and III can be derived.
- e)Using the given statement, none of the three Conclusions I, II and III can be derived.
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At ...
This question is based on the logic of a chain function. Given the relationship
At = (t + 1) At – 1 – t At – 2
We can clearly see that the value of A2 would depend on the values of A0 and A1. Putting t = 2 in
the expression, we get:
A2 = 3A1 – 2A0 = 7; A3 = 19; A4 = 67 and A5 = 307. Clearly, A6 onwards will be larger than 307
and hence none of the three conclusions are true. Option (e) is the correct answer.
At = (t + 1) At – 1 – t At – 2
We can clearly see that the value of A2 would depend on the values of A0 and A1. Putting t = 2 in
the expression, we get:
A2 = 3A1 – 2A0 = 7; A3 = 19; A4 = 67 and A5 = 307. Clearly, A6 onwards will be larger than 307
and hence none of the three conclusions are true. Option (e) is the correct answer.
Most Upvoted Answer
A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At ...
Given:
A0 = 1
A1 = 3
At = (t-1) * At-1 + t * At-2 for t ≥ 2
To find:
Conclusion I: A8 = 77
Conclusion II: A10 = 121
Conclusion III: A12 = 145
Solution:
We need to find the values of A8, A10, and A12 using the given recursive formula.
Finding A2:
Using the formula, we can find A2 as follows:
A2 = (2-1) * A1 + 2 * A0 = 1 * 3 + 2 * 1 = 5
Finding A3:
Using the formula, we can find A3 as follows:
A3 = (3-1) * A2 + 3 * A1 = 2 * 5 + 3 * 3 = 16
Finding A4:
Using the formula, we can find A4 as follows:
A4 = (4-1) * A3 + 4 * A2 = 3 * 16 + 4 * 5 = 68
Finding A5:
Using the formula, we can find A5 as follows:
A5 = (5-1) * A4 + 5 * A3 = 4 * 68 + 5 * 16 = 332
Finding A6:
Using the formula, we can find A6 as follows:
A6 = (6-1) * A5 + 6 * A4 = 5 * 332 + 6 * 68 = 1944
Finding A7:
Using the formula, we can find A7 as follows:
A7 = (7-1) * A6 + 7 * A5 = 6 * 1944 + 7 * 332 = 11804
Finding A8:
Using the formula, we can find A8 as follows:
A8 = (8-1) * A7 + 8 * A6 = 7 * 11804 + 8 * 1944 = 77576
Finding A9:
Using the formula, we can find A9 as follows:
A9 = (9-1) * A8 + 9 * A7 = 8 * 77576 + 9 * 11804 = 476920
Finding A10:
Using the formula, we can find A10 as follows:
A10 = (10-1) * A9 + 10 * A8 = 9 * 476920 + 10 * 77576 = 2345056
Finding A11:
Using the formula, we can find A11 as follows:
A11 = (11-1) * A10 + 11 * A9 = 10 * 2345056 + 11 * 476920 = 11825760
Finding A12:
Using the formula, we can find A12 as follows:
A12 = (12-1) * A11 + 12 * A10 = 11 * 11825760 + 12 *
A0 = 1
A1 = 3
At = (t-1) * At-1 + t * At-2 for t ≥ 2
To find:
Conclusion I: A8 = 77
Conclusion II: A10 = 121
Conclusion III: A12 = 145
Solution:
We need to find the values of A8, A10, and A12 using the given recursive formula.
Finding A2:
Using the formula, we can find A2 as follows:
A2 = (2-1) * A1 + 2 * A0 = 1 * 3 + 2 * 1 = 5
Finding A3:
Using the formula, we can find A3 as follows:
A3 = (3-1) * A2 + 3 * A1 = 2 * 5 + 3 * 3 = 16
Finding A4:
Using the formula, we can find A4 as follows:
A4 = (4-1) * A3 + 4 * A2 = 3 * 16 + 4 * 5 = 68
Finding A5:
Using the formula, we can find A5 as follows:
A5 = (5-1) * A4 + 5 * A3 = 4 * 68 + 5 * 16 = 332
Finding A6:
Using the formula, we can find A6 as follows:
A6 = (6-1) * A5 + 6 * A4 = 5 * 332 + 6 * 68 = 1944
Finding A7:
Using the formula, we can find A7 as follows:
A7 = (7-1) * A6 + 7 * A5 = 6 * 1944 + 7 * 332 = 11804
Finding A8:
Using the formula, we can find A8 as follows:
A8 = (8-1) * A7 + 8 * A6 = 7 * 11804 + 8 * 1944 = 77576
Finding A9:
Using the formula, we can find A9 as follows:
A9 = (9-1) * A8 + 9 * A7 = 8 * 77576 + 9 * 11804 = 476920
Finding A10:
Using the formula, we can find A10 as follows:
A10 = (10-1) * A9 + 10 * A8 = 9 * 476920 + 10 * 77576 = 2345056
Finding A11:
Using the formula, we can find A11 as follows:
A11 = (11-1) * A10 + 11 * A9 = 10 * 2345056 + 11 * 476920 = 11825760
Finding A12:
Using the formula, we can find A12 as follows:
A12 = (12-1) * A11 + 12 * A10 = 11 * 11825760 + 12 *
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A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer?
Question Description
A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer?.
A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer?.
Solutions for A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Here you can find the meaning of A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A0, A1, A2,...... is a sequence of numbers withA0 = 1, A1 = 3, and At = (t +1) At–1 – t At–2 = 2, 3, 4,....Conclusion I. A8 = 77Conclusion II. A10 = 121Conclusion III. A12 = 145a)Using the given statement, only Conclusion I can be derived.b)Using the given statement, only Conclusion II can be derived.c)Using the given statement, only Conclusion III can be derived.d)Using the given statement, Conclusion I, II and III can be derived.e)Using the given statement, none of the three Conclusions I, II and III can be derived.Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice Quant tests.
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