math prob

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Jennifer ^.^

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Nov 22, 2010, 10:27:00 AM11/22/10
to Byjus_cet_1st_yr_class
Sir, cud u pease tell me how to solve this????- conventionally and
otherwise...

>> in an infinite geometric progression, the sum of the first two terms is 6 and every term is four times the sum of all the terms that follow it. Find:
a) the geometric progression and
b) its sum upto infinity

i dint even understand the question btw....

Arjun Mohan

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Nov 22, 2010, 12:00:03 PM11/22/10
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The series is 5,1,1/5...............
Sum will be 25/4
If this is given as answer options, its as simple as checking for the sum of 1st 2 terms and the ratio of 1st to rest of the answer options.

Conventionally
GP is a, ar, ar^2.....................
4ar/(1-r) = a [4 times the sum of terms starting from second term ar to infinity is the fist term 'a']
Solving this you get r = 1/5. Now create a GP whose r = 1/5 and first 2 terms sum as 6.

Regards,
Arjun
--
If ignorance is bliss,why do we seek knowledge?

Jennifer ^.^

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Nov 23, 2010, 11:02:43 AM11/23/10
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oh...... ok- thanx!!!! :)


On Nov 22, 10:00 pm, Arjun Mohan <arjun.mo...@gmail.com> wrote:
> The series is 5,1,1/5...............
> Sum will be 25/4
> If this is given as answer options, its as simple as checking for the sum of
> 1st 2 terms and the ratio of 1st to rest of the answer options.
>
> Conventionally
> GP is a, ar, ar^2.....................
> 4ar/(1-r) = a [4 times the sum of terms starting from second term ar to
> infinity is the fist term 'a']
> Solving this you get r = 1/5. Now create a GP whose r = 1/5 and first 2
> terms sum as 6.
>
> Regards,
> Arjun
>

Jennifer Durai

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Sep 5, 2011, 11:50:02 AM9/5/11
to Byjus_cet_1st_yr_class
HAPPY TEACHERS' DAY SIR!!!!!!!!!!!!!
By the way, this is your student from Byju's CET class :) Have a nice Day!!! :)
Truly,
           - Jennifer {aka Jeny}
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