Elaine deposited $50 into a bank account. Each month, the balance in the account increases by 0.25%. The amount of money in her bank account n months later is expressed by the sequence an, where a n = 50 (1.0025) n.

Which of the following is a recursive definition for the same sequence?

Question

Amari Aguilar

Mathematics

13 July, 02:25

Elaine deposited $50 into a bank account. Each month, the balance in the account increases by 0.25%. The amount of money in her bank account n months later is expressed by the sequence an, where a n = 50 (1.0025) n.

Which of the following is a recursive definition for the same sequence?

+3

Answers (1)

Know the Answer?

Johnathon Hunter · Answer 1

Step-by-step Answer::

"Each month, the balance in the account increases by 0.25%"

means F (n) = F (n-1) * 1.0025

"Elaine deposited $50 into a bank account."

means F (0) = 50

So a recursive definition is

F (n) = F (n-1) * 1.0025 for n=1,2,3,4 ... and F (0) = 50

Symbols used in the actual answer choices may differ, but with the same principle.

Elaine deposited $50 into a bank account. Each month, the balance in the account increases by 0.25%. The amount of money in her bank account n months later is expressed by the sequence an, where a n = 50 (1.0025) n.Which of the following is a recursive definition for the same sequence?

Elaine deposited $50 into a bank account. Each month, the balance in the account increases by 0.25%. The amount of money in her bank account n months later is expressed by the sequence an, where a n = 50 (1.0025) n.

Which of the following is a recursive definition for the same sequence?