write the 5th term of a sequence whose
nth term is n²+n+1
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Answer:
aₙ = n( n + 2)
= n² + 2n
first term = a₁ = (1)² + 2(1) = 1 + 2 = 3
2nd term = a₂ = (2)² + 2(2) = 4 + 4 = 8
3rd term = a₃ = (3)² + 2(3) = 9 + 6 = 15
4th term = a₄ = (4)² + 2(4) = 16 + 8 = 24
5th term = a₅ = (5)² + 2(5) = 25 + 10 = 35
hope it helps
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