Question

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

Answer 1

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