anonymous
  • anonymous
In a G.P. , the first term is 7, the last term is 448, and the sum is 889. Find the common ratio and the number of terms.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
use an=a1*r^(n-1)
anonymous
  • anonymous
where an=48 and a1=7
anonymous
  • anonymous
*448

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anonymous
  • anonymous
it is coming r^(n-1)=64
anonymous
  • anonymous
then i used the sum formula Sn=\[Sn =\frac{ a[r^n-1) }{ r-1 }\]
anonymous
  • anonymous
exactly...now you got two equations in two unknowns...so solve for r and n
anonymous
  • anonymous
i am stuck here
anonymous
  • anonymous
where??tell me the second one
anonymous
  • anonymous
\[127=\frac{ r^n-1 }{ r-1 }\]
anonymous
  • anonymous
r comes out to be 2.isn't it??
anonymous
  • anonymous
The answer should come r=2 and n=7
anonymous
  • anonymous
yeah hold on lemme write
anonymous
  • anonymous
ok
anonymous
  • anonymous
|dw:1356937412146:dw|
anonymous
  • anonymous
^from here you can get r=2....then put r=2 in first equation to get n
anonymous
  • anonymous
got it??
anonymous
  • anonymous
yes
anonymous
  • anonymous
good

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