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ThatCreepyBoy:
For my brother who's too lazy to get on. Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1. 1,223 −1,023 7,812 −7,812
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Vocaloid:
take the expression −2(5)n − 1 plug in n = 1, n = 2, n = 3... until n = 6 then add up the results
ThatCreepyBoy:
So it would be -2(5)1 - 1? :O if I were to replace n with 1?
Vocaloid:
yes
ThatCreepyBoy:
I got -10
ThatCreepyBoy:
-2?
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Allison:
I got D. -7,812
moreso:
if its a geometric sequence shouldn't it be $$ -2(5)^{n-1}$$
Allison:
Am I right @Vocaloid ?
Vocaloid:
oof morseo I think you're right
ThatCreepyBoy:
-2 * 5 = -10, -10 * 1 -10?
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Vocaloid:
-2(5)^(1-1) = ?
ThatCreepyBoy:
Sorry :P
moreso:
We want \[\sum_{n=1}^{6} -2(5)^{n-1} = -2(5)^{1-1} + -2(5)^{2-1} +-2(5)^{3-1} \\ + -2(5)^{4-1} +-2(5)^{5-1} +-2(5)^{6-1}\]
moreso:
Can you add those?
ThatCreepyBoy:
I'll have to wait till I get home.
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Allison:
It's D e.e
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