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

Answer:

$a_{3} = 4m)$.

Step-by-step 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, $a_{3} = 4m)$.