Question

The first term in a sequence is 4. Each of the next terms in the sequence is 3 more than 2 times the term before. What are the third and fourth terms in the sequence?

Answer 1

25 and 53

Explanation:

We can express the term in the sequence by the recursive formula

`a_(n)` = 2
`a_(n-1)` + 3 with a₁ = 4 , thus

a₂ = 2a₁ + 3 = 2(4) + 3 = 8 + 3 = 11

a₃ = 2a₂ + 3 = 2(11) + 3 = 22 + 3 = 25

a₄ = 2a₃ + 3 = 2(25) + 3 = 50 + 3 = 53