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

Question

Taliyah Bond

Mathematics

9 April, 11:53

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

+5

Answers (1)

Know the Answer?

Davila · 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