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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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3 years ago
What is the measure of the angle at the tail end of the kite? if the top area is where its pointed is 122?
nataly862011 [7]

Answer:

The angle is 58 degrees

Step-by-step explanation:

Given

See attachment for kite

Required

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Represent this angle with x.

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2 years ago
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CaHeK987 [17]
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----------------------------------------------

Explanation:

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3 0
3 years ago
What is the range of the function graphed?
victus00 [196]
The correct answer is B) 
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You can tell this by looking at the graph. The lowest that it goes is -3. You'll also note that the -3 has an open circle, which means that it isn't includes and thus needs a <.

The highest it goes it 3. You'll note that it has a closed circle, which means it is included and needs a ≤.
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