Question

Create an explicit formula of the sequence. 7, 14, 28, 56, .... Find the 10th term of the sequence. Complete your work in

Answer 1

Answer:

3584

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

$a_{n}$ = a$(r)^{n-1}$

where a is the first term and r the common ratio

r = 14 ÷ 7 = 28 ÷ 14 = 56 ÷ 28 = 2 and a = 7, thus

$a_{10}$ = 7$(2)^{9}$ = 7 × 512 = 3584