Use the binomial theorem to prove that 3 n n k 0 n k 2 k Generalize to find the sum n k 0 n k rk for any real number r

Question

Use the binomial theorem to prove that 3 n   n k   0 n k 2 k   Generalize to find the sum n k   0 n k rk for any real number r

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Use the binomial theorem to prove that 3 n = n k = 0 n k 2 k . Generalize to find the sum n