Find the first six terms of the sequence. a1 = -7, an = 2 • an-1

Question

asked Jan 25, 2020 227k views

1 Answer

Keana · Answer 1 · 2020-01-31T13:49:40+0000

Answer:

The first 6 terms are -7,-14,-28,-56,-112,-224

Explanation:

The given sequence is defined recursively by:

a_1=-7 and
a_n=2(a_(n-1))

When n=2

a_2=2(a_(2-1))

a_2=2(a_(1))

a_2=2(-7)=-14

When n=3

a_3=2(a_(3-1))

a_3=2(a_(2))

a_3=2(-14)=-28

When n=4

a_4=2(a_(4-1))

a_4=2(a_(3))

a_4=2(-28)=-56

When n=5

a_5=2(a_(5-1))

a_5=2(a_(4))

a_5=2(-56)=-112

When n=6

a_6=2(a_(6-1))

a_6=2(a_(5))

a_6=2(-112)=-224

The first 6 terms are -7,-14,-28,-56,-112,-224