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what would be the 102nd number in the following pattern

Algebra
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what would be the 102nd number in the following pattern 4, 13, 22, 31, 40

Apr 28th, 2015

It is an arithmetic sequence where the common differenc is 9.  (add 9 each time)

The equation for an arithmetic sequence is  (any term) = (first term) + (n - 1)d (where n is the term number we want and d is the common difference.)

So we get:  102nd term = 4 + (102 - 1) 9 = 4 + 101 x 9 = 4 + 909 = 913  (the answer.)

Apr 28th, 2015

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