Sigma Notation and Riemann Sums

Question

Write the sum using sigma notation:

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀A

5 + 7 + 9 + 11 + ... + 33 = ∑ B, where

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀n=1

A =

B =

Answer 1

This is sum of arithmetic sequence: a₁ = 5; d = 2; a_n = 5 + (n - 1)·2 = 2n + 3 = 33; n = 15

A = 15; B = 2n + 3.