Multiple choice

Find the 8th term of the given A.P. series. 117, 104, 91, 78, ...

  1. 13

  2. 26

  3. 52

  4. 63
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B Correct answer
Explanation

This is an arithmetic progression with first term a = 117 and common difference d = 104 - 117 = -13. The n-th term is given by a + (n-1)d. For the 8th term, it is 117 + (8-1)(-13) = 117 - 91 = 26.

AI explanation

Using the formula for the nth term of an arithmetic progression, a_n = a + (n - 1)d, where the first term a is 117 and the common difference d is -13. Plugging in n as 8 yields 117 + (8 - 1)(-13), which equals 117 - 91. The 8th term is 26.

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