Question

What is the fourth term of the sequence? a1 = m an = 2an-1

Answer 1

a2=2a1=2m; a3=2a2=4m; a4=2a3=8m.

Answer 2

Answer:

Fourth term of the sequence is 8m

Step-by-step explanation:

Given: Sequence $a_1=m \ and\ a_n=2a_{n-1}$

We have to find the fourth term of the given sequence.

Consider the given sequence $a_n=2a_{n-1}$

Forth term will be $a_4=2a_3$....(1)

We find third term first

$a_3=2a_2$...(2)

Also, given $a_1=m$

and $a_2=2a_1=2m$ .....(3)

Put (3) in (2), we get,

$a_3=2(2m)=4m$...(4)

Put (4) in (1) , we get,

$a_4=2a_3=2(4m)=8m$

Thus, Fourth term of the sequence is 8m