Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term?
7¹⁰ 
7•2¹⁰ 
7•2⁹

Solution:

Given, the sequence is 7, 14, 28, 56,....

The sequence is in geometric progression.

The n-th term of the geometric progression is given by

a_n = ar^(n-1)

Here, first term, a = 7

Common ratio, r = b/a

r = 14/7

r = 2

So, the 10-th term = (7)(2)^(10-1)

a₁₀ = 7.2⁹

Therefore, the 10th term is a₁₀ = 7.2⁹

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

Summary:

Given the sequence 7, 14, 28, 56, ...The expression for the 10th term is a₁₀ = 7.2⁹.