SOLUTION: Samuel saves two cents the first month and every later he doubles the amount. How much will he save after two years? a) How much will Samuel save in the 9th month? b) How much

Question 1140164: Samuel saves two cents the first month and every later he doubles the amount. How much will he save after two years?

a) How much will Samuel save in the 9th month?
b) How much will he save after a year and half?
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

(a)  Use the formula for the sum of an geometric progression.


     His saving after two years (=24 months) is   = 33554430 cents.



(b)  Use the formula for the 9-th term of the geometric progression


     Samuel will save in the 9-th month   = 512 cents.



(c)  Use the formula for the sum of an geometric progression.


     His saving after a year and half (=18 months) is   cents.

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On geometric progressions, see introductory lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Geometric 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

into your archive and use when it is needed.

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