Question

What is the third term of the sequence? a1 = m an = 2an-1 2m 4m 6m 7m

Answer 1

rjp912 it should be 4m                       

Answer 2

`a_(3) = 4m)`.

Explanation:

Given :
`a_(1) = m` and
`a_(n) = 2 a_(n-1)`.

To find : What is the third term of the sequence.

Solution : We have given

`a_(1) = m`

`a_(n) = 2 a_(n-1)`.

For n =2 .

`a_(2) = 2 a_(2-1)`.

`a_(2) = 2 a_(1)`.

plug
`a_(1) = m`

`a_(2) = 2m`.

For n = 3 .

`a_(3) = 2 a_(3-1)`.

`a_(3) = 2 a_(2)`.

Plug
`a_(2) = 2m`.

`a_(3) = 2( 2m)`.

`a_(3) = 4m)`.

Therefore,
`a_(3) = 4m)`.