Question

PLEASE ANSWER RIGHT AWAY

Answer 1

`a_(7)= - 20`

Step-by-step explanation

The sequence is defined recursively by:

`a_(n+1)=-2a_n+4`

Where

`a_1=1`

`a_(2)=-2a_1+4`

`a_(2)=-2(1)+4 = 2`

`a_(3)=-2a_2+4`

`a_(3)=-2(2)+4 = 0`

`a_(4)=-2a_3+4`

`a_(4)=-2(0)+4 = 4`

`a_(5)=-2a_4+4`

`a_(5)=-2(4)+4 = - 4`

`a_(6)=-2a_5+4`

`a_(6)=-2( - 4)+4 = 12`

`a_(7)=-2a_6+4`

`a_(7)=-2(12)+4 = - 20`