Question

Find the next three terms in the geometric sequence. 2,-16,128,-1024,...

Answer 1

Answer:8192,-65536,524288

Step-by-step explanation:

2,-16,128,-1024,....

First term=a=2

Common ratio=r=-16/2=-8

Using the formula

Tn=a x r^(n-1)

T5=2 x (-8)^(5-1)

T5=2x (-8)^4

T5=2x4096

T5=8192

T6=2x(-8)^(6-1)

T6=2x(-8)^5

T6=2x-32768

T6=-65536

T7=2x(-8)^(7-1)

T7=2x(-8)^6

T7=2x262144

T7=524288