Question

Can someone help me figure out how to solve this problem

Answer 1

`a_4 = 52\\`

Explanation:

There is no way around this one. You just had to calculate each term until you got the fourth term.

`a_2 = 2(a_1) + 4 = 2(3) + 4 = 10`

`a_3 = 2(a_2) + 4 = 2(10) + 4 = 24`

`a_4 = 2(a_3) + 4 = 2(24) + 4 = 52`

Answer 2

To find the fourth term in the given sequence, we can use the formula for the nth term, which is a^n = 2 (a^n-1) + 4. We can then plug in the value of a^1, which is 3, and the value of n, which is 4, to find the fourth term:

a^4 = 2 (a^3) + 4

= 2 [2 (a^2) + 4] + 4

= 2 [2 [2 (a^1) + 4] + 4] + 4

= 2 [2 [2 (3) + 4] + 4] + 4

= 2 [2 [10] + 4] + 4

= 2 [24] + 4

= 52

Therefore, the fourth term in the sequence is 52.