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SAT Prep

Category - Math

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What is the 45th element in the arithmetic sequence -9,-6,-3,0,3,6…?

Explanation

Answer: B - The 45th element in the sequence is 123.
a_1 = -9,d = 6-3 = 3,n = 45
a_n = a_1 + (n-1)d = -9 + (45-1)×3 = -9 + 44×3 = -9 + 132 = 123

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