The amount of money in nadia’s savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are the first two numbers in the sequence?
a. $25.36, $75.99
b. $50.00, $101.25
c. $101.25, $153.78
d. $75.99, $127.89

A. $25.36, $75.99

Step-by-step explanation:

Given recursive formula:

Also,

Put n=6 in the above formula , we get

Similarly, for n=5 in the above formula , we get

for n=4 in the above formula , we get

for n=3 in the above formula , we get

for n=2 in the above formula , we get

Hence, the  first two numbers in the sequence are $25.36 and $75.99.

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