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Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c}
Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be written or illustrated as rC3.a, rC5.b, rC2.c. Now generating function for this finite sequence is given by
f(x) = rC3.a + rC5.bx + rC2.cx2
If there are (2n+1)terms in an AP ,prove that the ratio of the sum of odd terms and the sum of even terms is (n+1):n Ans: Let a, d be the I term & Cd of the AP. ∴ ak =
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