Answer to Question #184075 in Algebra for Sellasy Badasu

Question #184075

Find the 100th term of the arithmetic sequence with first term 9 and eighth term 37

Expert's answer

arithmetic sequence a_n= a₁ + (n-1)*d ; Find d: a₈= a₁ + 7*d; d = (a₈- a₁)/7 = (37-9)/7 = 28/4=7

Then when n=100, a₁₀₀= a₁ + (100-1)*d = 9 + 99 * 7 = 702

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