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balu736 [363]
3 years ago
8

What is the sum of the first 10 terms of the geometric sequence 4, -12, 36, -144

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

The given geometric sequence is:

4, -12, 36, -144

The first term, a = 4

The common ratio,

r = \frac{-12}{4}\\r = -3

Since we are looking for the sum of the first 10 terms

The number of terms, n = 10

The sum of the first n terms of a geometric sequence is given as:

S_n = \frac{a(1-r^n)}{1-r} \\S_n = \frac{4(1-(-3)^{10}}{1-(-3)} \\S_n = \frac{4(1-59049)}{4} \\S_n = -59048

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

Learn more here: brainly.com/question/15626828

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I hope this is what you were looking for.

8 0
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3 years ago
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3 0
4 years ago
Read 2 more answers
If standard deviation of a given data is 5 and mean is 50 then coefficient of variation (C.V) is equal to *
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10

Step-by-step explanation:

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