The recursive formula A(n) = A(n-1)+5 represents the amount of money in your savings account after n weeks. You start with $100. What is an explicit formula for the amount of money in your savings account after n weeks?A. A(n)=5+100(n−1)B. A(n)=100(n−1)−5C. A(n)=100+5(n−1)D. A(n)=5(n−1)−100

permaneceerc

permaneceerc

Answered question

2021-01-15

The recursive formula A(n)=A(n1)+5 represents the amount of money in your savings account after n weeks. You start with $100. What is an explicit formula for the amount of money in your savings account after n weeks?
A. A(n)=5+100(n1)
B. A(n)=100(n1)5
C. A(n)=100+5(n1)
D. A(n)=5(n1)100

Answer & Explanation

funblogC

funblogC

Skilled2021-01-16Added 91 answers

The recursive formula is for arithmetic sequence where A1 is the first term (A1=100) and the common difference is d=5.
The explicit formulf is given by: A(n)=A1+(n1)d
So, we have: A(n)=100+(n1)(5)
A(n)=100+5(n1)
So, the correct answer is choice C.

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