Write the first five terms of the sequence by the recursive formula t1=2 and tn=tn-1+3

T1 = 2, Tn = 1 / tn-1 For The Geometricseries 6 + 3 + 3/2 + 3/4 +.

2, 5, 8, 11, 14

Step-by-step explanation:

Find the first 5 terms by substituting n = 2, 3, 4, 5 into the recursive formula

t₂ = t₁ + 3 = 2 + 3 = 5

t₃ = t₂ + 3 = 5 + 3 = 8

t₄ = t₃ + 3 = 8 + 3 = 11

t₅ = t₄ + 3 = 11 + 3 = 14

The first 5 terms are 2, 5, 8, 11, 14