Question

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

Answer 1

Answer:

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

Step-by-step 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