Question

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

Answer 1

The first term of the sequence is
`a_(1) = -7` .

The sequences is recursive, every next term of the sequence is obtained by multiplying the previous term by 2.

So, we can find the next 6 terms as shown below:


`a_(2) = 2*a_(1)=2(-7)=-14`

`a_(3) = 2(-14)=-28`

`a_(4) = 2(-28)=-56`

`a_(5) = 2(-56)=-112`

`a_(6) = 2(-112)=-224`

`a_(7) = 2(-224)=-448`