The first term of an arithmetic series is 12 and the 8th term is 257. Is 964 a term of the series?

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The first term of the arithmetic series is 12 and the 8th term is 257. The nth term of an arithmetic series with first term a and common difference d is Tn = a + (n - 1)*d

257 = 12 + 7*d

=> d = 35

If 964 is a term of the series, the difference of the numbers 964 and 12 should be an integer multiple of 35.

964 - 12 = 952 which is not an integer multiple of 35.

The number 964 is not a term of the arithmetic series described in the problem.

We’ve answered 318,974 questions. We can answer yours, too.

Ask a question