Question

The first five terms of a sequence are a1=47, a2=33, a3=19, a4=5, a5=−9 Based on this information, create an equation that can be used to find the nth term of the sequence, an .Choose from the list of numbers below to fill in the blanks. Not all answers will be used.6147-14-6114(1 point)an = n+ Skip to navigation

Answer 1

This is arithmetic with common difference d = 33−47 = −14. Use an = a1 + (n−1)d:

an = 47 + (n−1)(−14) = 47 − 14n + 14 = 61 − 14n.

So an = −14n + 61 (choose −14 and 61).