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

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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.**