Question

Find an explicit function rule for the sequence 5, 11, 17, 23, .... Use the formula a (n) = a (1) + (n-1)d and simplify fully.

Answer 1

an=−1+6n

Explanation:

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Answer 2

`5,11,17,23,... \\ \\ a_1=5 \\ d=a_2-a_1=11-5=6 \\ \\ a_n=a_1+d(n-1) \\ a_n=5+6(n-1) \\ a_n=5+6n-6 \\ a_n=6n-1`

The function rule for the sequence is a(n)=6n-1.