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Algebra 8 Online
OpenStudy (anonymous):

Find the sum of the first seven terms of the sequence 4, 12, 36, 108, … . 1,456 1,457 4,372 4,374

OpenStudy (arindameducationusc):

Its a GP

OpenStudy (anonymous):

what

OpenStudy (anonymous):

Okay the easy way I do this is first find the pattern. Do you know what the pattern is?

OpenStudy (arindameducationusc):

Common ratio is 3

OpenStudy (arindameducationusc):

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

OpenStudy (anonymous):

Yes okay so now do 108*3*3*3

OpenStudy (anonymous):

And write down each number that shows when you hit equal

OpenStudy (arindameducationusc):

r here is3, a is 4

OpenStudy (arindameducationusc):

n is 7

OpenStudy (arindameducationusc):

4(3^7-1)/3-1 , we get.................

OpenStudy (arindameducationusc):

4372

OpenStudy (anonymous):

324, 972, 2916 so you add 4, 12, 36, 108, 324, 972, 2916 together. We get 4372

OpenStudy (arindameducationusc):

got it?

OpenStudy (anonymous):

got it?

OpenStudy (arindameducationusc):

good job @alexistheking77

OpenStudy (anonymous):

thank you so much i appreciate it

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