# epsilon vol10 2016 august tạp chí toán học mới

## tạp chí toán học Mathematics 4 2016

... ⎞ ⎛ C 14 r k ∑ Ck 14Cr ⎟ ⎠ k = ⎝ Ck r = k ∑ ⎜ 14 7 = ⎛ ⎛ 7C ∑⎜ k =0 ⎝ k 14 × k 14 − k 14 ⎞ r =k ⎠ k =0 ∑ ⎜ 7Ck ∑ 14 k Cr −k ⎟ = ∑ k =0 ⎝ k 14 ⎞ r ⎟ r = k k r − k r 14 − r ⎠ 14 ∑ Ck 2 14 − k ... binomial coeicients in the expansion of (3–x /4 + 35x /4) n = 64 hen putting 3–x /4 = 35x /4 = 14 MATHEMATICS TODAY | APRIL ‘16 ∴ (1 + 1)n = 64 ⇒ 2n = 64 ∴ n=6 We know that middle term has the greatest ... ⎞ ∴ Middle term = ⎜ + 1⎟ ⎝2 ⎠ th term = 4th term = T4 and given T4 = (n – 1) + T3 T3 + = (n – 1) + T2 + C3(3–x /4) 3 (35x /4) 3 = ( – 1) + 6C2(3–x /4) 4 (35x /4) 2 −3x / 15x / − x 5x / ⇒ ⋅3 =5+ 3 ⋅3...
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