Question

Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term?

Answer 1

This is a geometric progression with 7 as the initial term and 2 the common ratio.
The formula to find the nth term is 7 times 2 to the n-1.
For the 10th term, n = 10 so the nth term equals 7 times 2 to the 9th power
or 7 * 2**9 = 7 times 512 which equals 3584.
Of your choices given above, the last one seems closest.
Hope this answers your question!

Answer 2

Hello,


`u_(1)=7\\ u_(2)=2*7\\ u_(3)=2^(2)*7\\ u_(4)=2^(3)*7\\\\ u_(n)=2^(n-1)*7\\\\ u_(10)=2^(9)*7=3584\\`