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The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence?
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The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the th...
Given Information:
The nth term of the sequence is given by Tn = 4Tn-1 - 3.
Given Condition:
Twice the third term is equal to 5 times the second term.
Solution:
Let's find the first three terms of the sequence.
First Term (T1):
T1 = 4T0 - 3
T1 = 4(0) - 3
T1 = -3
Second Term (T2):
T2 = 4T1 - 3
T2 = 4(-3) - 3
T2 = -15
Third Term (T3):
T3 = 4T2 - 3
T3 = 4(-15) - 3
T3 = -63
Given Condition:
2 * T3 = 5 * T2
2 * (-63) = 5 * (-15)
-126 = -75
Conclusion:
The first three terms of the sequence are T1 = -3, T2 = -15, and T3 = -63. The condition given in the problem is not satisfied, as -126 does not equal -75.
The nth term of the sequence is given by Tn = 4Tn-1 - 3.
Given Condition:
Twice the third term is equal to 5 times the second term.
Solution:
Let's find the first three terms of the sequence.
First Term (T1):
T1 = 4T0 - 3
T1 = 4(0) - 3
T1 = -3
Second Term (T2):
T2 = 4T1 - 3
T2 = 4(-3) - 3
T2 = -15
Third Term (T3):
T3 = 4T2 - 3
T3 = 4(-15) - 3
T3 = -63
Given Condition:
2 * T3 = 5 * T2
2 * (-63) = 5 * (-15)
-126 = -75
Conclusion:
The first three terms of the sequence are T1 = -3, T2 = -15, and T3 = -63. The condition given in the problem is not satisfied, as -126 does not equal -75.
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The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence?
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The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence?.
The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The nth term of a sequence is given by Tn=4Tn-1-3. if the twice the third term is 5 times the second term, fine the first three term of the sequence?.
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