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Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.
- a)5
- b)6
- c)4
- d)3
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Find the 1st term of an AP whose 8th and 12th terms are respectively 3...
Since the 8th and the 12th terms of the AP are given as 39 and 59 respectively, the difference
between the two terms would equal 4 times the common difference. Thus we get 4d = 59 – 39 =
20. This gives us d = 5. Also, the 8th term in the AP is represented by a + 7d, we get:
a + 7d = 39 Æ a + 7 × 5 = 39 Æ a = 4. Option (c) is correct.
between the two terms would equal 4 times the common difference. Thus we get 4d = 59 – 39 =
20. This gives us d = 5. Also, the 8th term in the AP is represented by a + 7d, we get:
a + 7d = 39 Æ a + 7 × 5 = 39 Æ a = 4. Option (c) is correct.
Most Upvoted Answer
Find the 1st term of an AP whose 8th and 12th terms are respectively 3...
To find the 1st term of an arithmetic progression (AP), we need to determine the common difference (d) first. Once we have the common difference, we can use the formula for the nth term of an AP to find the 1st term.
Let's denote the 8th term as a + 7d and the 12th term as a + 11d, where 'a' is the 1st term and 'd' is the common difference.
Given that the 8th term is 39 and the 12th term is 59, we can write the following equations:
a + 7d = 39 ...(1)
a + 11d = 59 ...(2)
Solving these two equations will give us the values of 'a' and 'd'.
Subtracting equation (1) from equation (2), we get:
a + 11d - (a + 7d) = 59 - 39
4d = 20
d = 20/4
d = 5
Now that we know the common difference (d = 5), we can substitute this value back into equation (1) to find the 1st term (a).
a + 7(5) = 39
a + 35 = 39
a = 39 - 35
a = 4
Therefore, the 1st term of the arithmetic progression is 4. Hence, the correct answer is option 'C'.
Let's denote the 8th term as a + 7d and the 12th term as a + 11d, where 'a' is the 1st term and 'd' is the common difference.
Given that the 8th term is 39 and the 12th term is 59, we can write the following equations:
a + 7d = 39 ...(1)
a + 11d = 59 ...(2)
Solving these two equations will give us the values of 'a' and 'd'.
Subtracting equation (1) from equation (2), we get:
a + 11d - (a + 7d) = 59 - 39
4d = 20
d = 20/4
d = 5
Now that we know the common difference (d = 5), we can substitute this value back into equation (1) to find the 1st term (a).
a + 7(5) = 39
a + 35 = 39
a = 39 - 35
a = 4
Therefore, the 1st term of the arithmetic progression is 4. Hence, the correct answer is option 'C'.
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Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.a)5b)6c)4d)3Correct answer is option 'C'. Can you explain this answer?
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Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.a)5b)6c)4d)3Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.a)5b)6c)4d)3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.a)5b)6c)4d)3Correct answer is option 'C'. Can you explain this answer?.
Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.a)5b)6c)4d)3Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.a)5b)6c)4d)3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59.a)5b)6c)4d)3Correct answer is option 'C'. Can you explain this answer?.
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