Sigma Notation and Riemann Sums

Question

Find the value V of the Riemann sum for the function f(x) = 2^x using the partition P = { 1, 3, 4, 6 }, where ck is the right endpoint of the partition.

V =

Answer 1

V = 2³(3-1) + 2⁴(4-3) + 2⁶(6-4) = 2⁴ + 2⁴ + 2⁷ = 2⁵ + 2⁷ = 32 + 128 = 160