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What is the sum of a 6-term geometric series if the first term is 24 and the last term is 1,417,176?

User TechArcSri
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2 Answers

5 votes

Answer:

1,594,320

Explanation:

took the test

User Tomkpunkt
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4 votes

First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
1417176 = 24 r^(6-1)
59049= r^5
r = 9

We can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r

where a(1) is the first term, r is the ratio and n is the number of terms.

S(9) = 24 (1 - 9^6) / 1-9
S(9) = 1594320


User DjKianoosh
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7.0k points

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