Formulas and Sums

Question

For the sequence 15, 22, 29, 36, 43 write a recursive formula, an explicit formula, and find the sum of the first 100 terms in the sequence.

Answer 1

a_n+1 = a_n + 7

a_n = 15 + (n - 1)7

S₁₀₀ = (100/2)[2(15) + (99)7)]

 

You can do the arithmetic.