# Thread: Number of terms in a geometric sequence?

1. YahooHoo
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## Number of terms in a geometric sequence?

Determine the number of terms for the following geometric sequence:

a) 2, 4, 8,.........1024

2. Entry Level Fresher
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3. Entry Level Fresher
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Mar 2008
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The sequence is of relation ship

2 ^ N where N = 1 to X
So there for

2 ^ X = 1024
and thus X = 10

Therefore there are 10 terms in the series.

So far as I can remeber this in not the correct sequence notation, but the answer is correct, no?

4. CrEatE
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Cool...
I'm weak in maths but there is always room for improvement..

5. Entry Level Fresher
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2^1,2^2...............2^10
so 1024 is 10th term
therfore total 10 terms in the series

6. Entry Level Fresher
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2^1,2^2...............2^10
so 1024 is 10th term
therfore total 10 terms in the series

7. Entry Level Fresher
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Originally Posted by Geelee
Determine the number of terms for the following geometric sequence:

a) 2, 4, 8,.........1024

here 1st term a=2;
last term =1024;
as we know 2 to the power 10 =1024; so total no of terms in the geometric series =10

8. Entry Level Fresher
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Apr 2009
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In the geometric Sequence ,
First Term is 2. Second term = 4 (2 * 2=> 2 to power 2)
Third term is 8(2*2*2 => 2 to power 3). From this above pattern Number of term is equal to power of 2.
here the last term is 1024(2 to power10 )
Therefore 1024 is the 10th term .
Therefore the number of term in Geometric Sequence = 10

9. Entry Level Fresher
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May 2009
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The formula for Nth term of a G.P. series is
T(N)=a*r^(N-1), where a= first term, r= common ratio, T(N)=last term
=> 1024=2*2^(N-1)
=> 2^(N-1)=512
=> 2^(N-1)=2^9
=> (N-1)=9
=> N=10.

10. Banned
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2 ^ N where N = 1 to X
So there for

2 ^ X = 1024
and thus X = 10

Therefore there are 10 terms in the series.

11. Fresher
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Jan 2013
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hi
2*2=4*2=8*2=16 last number is sereis is 512*2=1024 ten time of row is multiply by 2.