Question

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

A(n) = 5 + (n - 1) 1/6
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Answer 1

A(1) = 5

A(4) = 5.5

A(10) = 6.5

Explanation:

An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;

Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;

So:

A(1) = 5 + ⅙((1) - 1) = 5

A(4) = 5 + ⅙((4) - 1) = 5.5

A(10) = 5 + ⅙((10) - 1) = 6.5