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Community Discussion Question: bainomial

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5 Apr 2008 23:22:47 IST

Subject: bainomial

rathin_123 (55)

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( 5^1/2 + 7^1/8 )^1024 find the number of intrigle terms in it.

5 Apr 2008 23:59:11 IST

Subject: Re:bainomial

sboosy (3046)

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$(5^{\frac{1}{2}}+7^{\frac{1}{8}})^{1024} \\ \\ \mbox{General term:} \ 1024C_r (5^{\frac{1}{2}})^{n-r} (7^{\frac{1}{8}})^r \\ \\ \mbox{Now if we choose r such that} \ (7^{\frac{1}{8}})^r \ \mbox{is made integer,then} \\ \\ (5^{\frac{1}{2}})^{n-r} \ \mbox{also becomes an integer} \\ \\ \mbox{Thus favourable value of r are} \ 0,8,16,24,....1024 \\ \\ \mbox{Thus there are} \ 129 \ \mbox{integral terms}$

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6 Apr 2008 20:03:28 IST