Question

Find the 14th term of geometric sequence 5,-10,20,...

Answer 1

Answer:

Step-by-step explanation:

The formula for a geometric sequence is

$a_n=a_1*r^{n-1}$ where n is the position number in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us,

n is 14, a1 is 5, and the common ratio (the number we multiply by each number to get to the next one in line) is -2.

$a__{14}=5*(-2)^{14-1}$ and

$a_{14}=5*(-2)^{13}$ and

$a_{14}=5(-8192)$ so

$a_{14}=-40960$

Answer 2

What he said should be correct.