Find the 5th term in the sequence that is defined as follows:
Please help!!
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Answer:
155
Step-by-step explanation:
Using the recursive formula and a₁ = 1, then
a₂ = 3a₁ + 2 = 3(1) + 2 = 3 + 2 = 5
a₃ = 3a₂ + 2 = 3(5) + 2 = 15 + 2 = 17
a₄ = 3a₃ + 2 = 3(17) + 2 = 51 + 2 = 53
a₅ = 3a₄ + 2 = 3(51) + 2 = 153 + 2 = 155
Thus the 5 th term is 155