Suppose you make deposits into an investment account. These deposits occur in a sequence that are multiples of 15. The first deposit (i.e. the first term in the sequence) is $240, and the last deposit is an amount that is less than $2022. (a) How many deposits are you going to make into your account? (Hint: What is the total number of terms in this sequence?)  (b) Calculate the total sum of all the deposits you make into your investment account. (Hint: What is the sum

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.2: Arithmetic Sequences
Problem 12.38TI: Find the sum of the first 50 terms of the arithmetic sequence whose general term is an=4n+3.
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Suppose you make deposits into an investment account. These deposits occur in a sequence that are multiples of 15. The first deposit (i.e. the first term in the sequence) is $240, and the last deposit is an amount that is less than $2022.

(a) How many deposits are you going to make into your account? (Hint: What is the total number of terms in this sequence?) 

(b) Calculate the total sum of all the deposits you make into your investment account. (Hint: What is the sum of all the terms in this series?)

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