Series and notations

Question

Find the infinite sum of the geometric sequence with a=6,r=4/8 if it exists.

S∞ ____

Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for the third day, and so on.

If the daily wage keeps doubling, what will your total income be for working 30 days?

Total Income = $871.2

Find the infinite sum of the geometric sequence with a=6,r=2/6 if it exists.

S∞=

Answer 1

S = 6 / (1 - (4/8))

S₃₀ = (0.04)(2³⁰ - 1) / (2 - 1)

S = 6 / (1 - (2/6))