Question

After graduation, B. Kind pledges to make an annual donation to his college. The first year he will donate $200. Every year after that he will increase his donation by 12%. How much will Mr. Kind be giving to the college over the next 20 years? This problem would require formulas for: D) geometric series B) arithmetic series C) geometric sequences A) arithmetic sequences

Answer 1

I believe this would be a geometric sequence

Answer 2

see it will go like this
1st year = $200
2nd year =$200+(0.12*$200)=$200+{2-1}(0.12*$200)
3rd year=$200+(0.12*$200)+(0.12*$200)=$200+2*(0.12*$200)=$200+{3-1}(0.12*$200)
4th year=$200+{4-1}(0.12*$200).......so on to
20th year=$200+{20-1}(0.12*$200)
hence it resemble a20=a+(20-1)d where a is 1st term,d is common difference and a20 is 20th term of the series
this is the general formula of AP series.

Answer 3

So its geometric sequence?

Answer 4

I think so

Answer 5

@kelliegirl33 and @sweetpink365 its a arithmetic series

Answer 6

Oh ok thank you :)

Answer 7

you sure....because you are multiplying to find the difference

Answer 8

@kelliegirl33 if it would be a geometric series then we would see term like this
$200(0.12*200)^19

Answer 9

this is a geometric series
http://www.regentsprep.org/Regents/math/algtrig/ATP2/GeoSeq.htm

Answer 10

@kelliegirl33 to be frank i m not sure about GP but what the question ask and what I did its an AP

Answer 11

ok....I am probably wrong....thanks for explaining