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Question

In an AP, the first term is 7 and the common difference is 4. Which term of the AP will be five times the first term?

A

8th term

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B

4th term

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C

2nd term

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D

12th term

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Solution

The correct option is A 8th term Formula to find nth term of arithmetic progression is tn=a+(n−1)d where, 'a' is the first term, 'd' is the common difference, 'n' is the no. of terms, 'tn' is the nth term. Given, first term, a = 7 and common difference, d = 4 an= 5a 5a=5×7=35 Now, nth term of the AP, tn=a+(n−1)d tn=7+(n−1)4 35=7+(n−1)4 n−1=7 n=8 ∴ 8th term of the AP is five times the first term.

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