anonymous
  • anonymous
Find the sum of the first seven terms of the sequence 4, 12, 36, 108, … . 1,456 1,457 4,372 4,374
Algebra
schrodinger
  • schrodinger
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arindameducationusc
  • arindameducationusc
Its a GP
anonymous
  • anonymous
what
anonymous
  • anonymous
Okay the easy way I do this is first find the pattern. Do you know what the pattern is?

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arindameducationusc
  • arindameducationusc
Common ratio is 3
arindameducationusc
  • arindameducationusc
use S=a(r^n-1)/(r-1)
anonymous
  • anonymous
Yes okay so now do 108*3*3*3
anonymous
  • anonymous
And write down each number that shows when you hit equal
arindameducationusc
  • arindameducationusc
r here is3, a is 4
arindameducationusc
  • arindameducationusc
n is 7
arindameducationusc
  • arindameducationusc
4(3^7-1)/3-1 , we get.................
arindameducationusc
  • arindameducationusc
4372
anonymous
  • anonymous
324, 972, 2916 so you add 4, 12, 36, 108, 324, 972, 2916 together. We get 4372
arindameducationusc
  • arindameducationusc
got it?
anonymous
  • anonymous
got it?
arindameducationusc
  • arindameducationusc
anonymous
  • anonymous
thank you so much i appreciate it

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