Question

What is the fourth term of the sequence defined by the recursive formula t1 = 4, t2 = 6 tn= tn-1 + tn-2

Answer 1

16

Explanation:

Given the recursive function tn= tn-1 + tn-2 where t1 = 4, t2 = 6

We are to find t4

t4 = t₄₋₁ + t₄₋₂

t₄ = t₃ + t₂

Get t₃

t₃ = t₂ + t₁

t₃ = 6 + 4

t₃ = 10

Get t₄

Recall that t₄ = t₃ + t₂

t₄ = 10 + 6

t₄ = 16

Hence the fourth term of the sequence is 16