$S=1+\dfrac12+\dfrac14+\dfrac14+\dfrac18+\dfrac18+\dfrac18+\dfrac18+...+\underbrace{\dfrac1{2^n}+..+\dfrac1{2^n}}_{2^{n-1}\;tane}+.....$
Böyle bir $S$ toplamı için genel terim $\displaystyle\sum a_i$ nasıl verilir ?
veya
$\{b_n\}=\underbrace{1}_{b_{1}},\underbrace{\dfrac12}_{b_{2}},\underbrace{\dfrac14}_{b_{3}},\underbrace{\dfrac14}_{b_{4}},\underbrace{\dfrac18}_{b_{5}},\underbrace{\dfrac18}_{b_{6}},\underbrace{\dfrac18}_{b_{7}},\underbrace{\dfrac18}_{b_{8}},...,\underbrace{\dfrac1{2^{n-1}}}_{b_{2^n}},..$
İçin $b_n$ nasıl verilir?
Bağlı soru:http://matkafasi.com/102439/harmonik-iraksakligini-ispatlayan-elementer-yontemleri