What is the 33rd term of this arithmetic sequence? 12, 7, 2, -3, -8, …

Question

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Answer 1

d = common difference = difference between consecutive terms = -5

 

a₁ = first term = 12

 

a_n = nth term = a₁ + (n-1)d = 12 -5(n-1) = -5n + 17

 

a₃₃ = -5(33) + 17 = -148