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Ask iit jee aieee pet cbse icse state board experts Expert Question: Binomial theorem
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Radon222 (161)

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\text{Find the value of :} \\ \\    99^{50}-99.98^{50}+\frac{99.98}{1.2}(97)^{50}+.....+99

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nadeemoidu (1184)

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Is it minus after the 1st term ? then y not after the third term?
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Radon222 (161)

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sorry ! my mistake ...its minus after third term

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konichiwa2x (2224)

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edited.

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

JEE and OLYMPIA INFINATUM
http://iit-redefined.theforum.name/index.php
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sboosy (3011)

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[tex] \\ \\ \mbox{Consider} \ 3C_0*3^2 - 3C_1*2^2 + 3C_2 \\ \\ \mbox{It is nothing but } \ 0 \\ \\ \mbox{Consider} \ 5C_0*5^3 - 5C_1*4^3 + 5C_2*3^3 - 5C_3*2^3 + 5C_4 \\ \\ \mbox{This is also} 0 \\ \\ \mbox{Thus we form a pattern} \\ \\ \mbox{Let k be an odd number.Then} \\ \\ kC_0*k^{\frac{k+1}{2}} - kC_1 * (k-1)^{\frac{k+1}{2}} + kC_2 * (k-2)^{\frac{k+1}{2}} .... \ \mbox{go on till u get} \ kC_{k-1} \\ \\ \mbox{We find it is} \ 0 .
\\ \\ \mbox{Thus given expression is also } \ 0 \\ \\
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Radon222 (161)

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Great........thanx a lot

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