# 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?

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## Question:

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

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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