Question

Larry has taken out a loan for college. He started paying off the loan with a first payment of $150. Each month he pays, he wants to pay back 1.3 times as the amount he paid the month before. Explain to Larry how to represent his first 15 payments in sigma notation. Then explain how to find the sum of his first 15 payments, using complete sentences. Explain why this series is convergent or divergent.

Answer 1

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Answer 2

first==150
second- 150*1.3
third---150*1.3*1.3
it is geometric progression
\[\sum_{1}^{15}a.r^(n-1)\]

Answer 3

\[\sum_{1}^{15}a*r^{n-1}\]

Answer 4

http://www.ilovemaths.com/3gpsum.asp

Answer 5

So what do I write in sentences?

Answer 6

First payment larry makes =150
second “ “ “ “=150*1.3
third............=150*1.3*1.3
similarly 15th payment=150*1.3^14

this series is in the form of GP

Answer 7

@minoz Is the coverigent or the other way?

Answer 8

a series is convergent if limit exists
here as limit is 15 it is convergent

Answer 9

and we get result as some number
if result is infinity then series is divergent

Answer 10

@minoz Daniel needs to study a possible link between anti-inflammatory drugs and kidney disease. Help Daniel design a study that would be appropriate.
Explain the type of study, the sampling method, the parameter of interest, and the statistic he could use to estimate that parameter. What conclusions would Daniel be able to draw from this study?

Answer 11

i dont have idea on sampling
sorry

Answer 12

Answer the attached

Answer 13

@minoz

Answer 14

Use the circumference of the small one to find the rotational distance. Then use the rotational distance to find the angular measure of the large. Same sort of thing for part two, but large to small.

Answer 15

http://openstudy.com/study#/updates/53403986e4b05a4f7d541f17