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Ad libitum [116K]
4 years ago
12

Your friend owes you some money. He tells you that he'll pay you a penny today and triple the amount each day. If he follows his

plan, how much will he pay you on day 12?
Mathematics
1 answer:
hjlf4 years ago
3 0

Answer:

3^{11}

Step-by-step explanation:

Given you will receive a penny today and the amount is tripled each day

so if we write down each day payment we get a geometric progression.

Day 1=1

Day 2=3

Day 3=9

..

the series is 1,3,9,...

it is a geometric progression with a=1 r=3

we know that the general form of nth term in a GP is t(n)=ar^{n-1}

t(n)=1*3^{n-1}

now we need to find the amount on 12th day by substituting n=12

we get

t(12)=3^{11}

He will pay 3^{11} on the 12th day .

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