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Stolb23 [73]
3 years ago
10

The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

Answer:

195.25

Step-by-step explanation:

Consider geometric series  S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1  -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1  -1)

The formula now shows S(n)=a(r^n+1  -1)/(r-1)

Now use the formula for the problem

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F(x) =x^2+6x and g(x)=7-x find (f-g)(x) and (f-g)(9)
liq [111]
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The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a st
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The probability that student scored more than 850 we shall proceed as follows:
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Answer: P(x>850)=0.0228
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Read 2 more answers
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