SOLUTION: In January of a certain year, Will deposited $120 in his savings account. For each subsequent month of the same year and each month of the following year, his monthly deposit incre

Question 1140667: In January of a certain year, Will deposited $120 in his savings account. For each subsequent month of the same year and each month of the following year, his monthly deposit increased by $5. How much did he deposit in the savings account altogether during the two years?
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

It is arithmetic progression.


The first term is   = 120.


The last, 24-th term is   = 120 + 5*(24-1) = 235 dollars.


The amount under the question is the sum of the 24 terms of this progression.


It is equal half the sum   =  = 177.5, multiplied by the number of terms, i.e. 24:


    sum = 177.5*24 = 4260 dollars.    ANSWER

Solved.

----------------

For introductory lessons on arithmetic progressions see
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
in this site.

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    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

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