Question

Write an explicit formula for an,
the nth
term of the sequence 31, 37,43, ....

Answer 1

The formula for the nth term of this sequence is: 31 + (n-1)X6

Explanation:

This is an arithmetic sequence (ie. each term is the last term with a fixed value added to it).

T1 =31

T2 = 37 = T1 + 6 = 31 + 6

T3 = 43 = T2 + 6 = 31 + 6 + 6 = 31 + 6X2

…

In general, the nth term is 31 + 6(n-1)