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3 years ago

Find r for the geometric series s5=244 a1=4 and a5=324

Mathematics

1 answer:

GaryK [48]3 years ago

8 0

Answer:

-3

Step-by-step explanation:

an = a1·r^(n-1) . . . . . . general term of a geometric sequence

a5 = 324 = 4·r(5-1) . . . specifically, the 5th term

81 = r^4 . . . . . . . . . . . divide by 4

Since the sum of 5 terms is less than the 5th term, the value of r must be negative:

$r=-\sqrt[4]{81}=-3$

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Harry took a loan from the bank.

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Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months that is given by :

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We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

$D(t)=-200(0)+9000$

So, $D(t) =9000$

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