Question

Va rog rezolvati 4^1×4^3×4^5×...×4^51 suma gauss

Answer 1

Răspuns:

4^676=2^1352

Explicație pas cu pas:

4^(1+3+5+...+51)

(1+3+5+...+51)=52*((51-1)/2+1)*1/2=26*26=26²=676

4^676=2²^676=2^1352

Answer 2

${4}^{(1 + 3 + 5 + ... + 51)}$
$(1 + 3 + 5 + ... + 51) = 52 \times \frac{51 - 1}{2 + 1} \times \frac{1}{2}$
$= 26 \times 26 = {26}^{2} = 676$
${4}^{676} = {2}^{2} totul \: la \: 676$
$= {2}^{1352}$