Which expression represents the series

The first option:  

Step-by-step explanation:

Notice that the first option:    

when expanded gives term by term:

for n = 0  .......  

for n = 1  .......  

for n = 2  .......  

for n = 3  .......  

for n = 4  .......  

which are exactly the terms shown in the problem.

111

step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of