Question

Calculați suma:
a) 1/3+1/3²+1/3³+1/3⁴+1/3⁵+1/3⁶
b) 1/2+1/4+1/8+1/16+1/32+1/64​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

3^5/3^6 + 3^4/3^6 + 3^3/3^6 + 3^2/3^6 + 3/3^6 + 1/3^6

= (3^5 + 3^4 + 3^3 + 3^2 + 3 + 1)/3^6

= (243 + 81 + 27 + 9 + 3 + 1)/729 = 364/729

b)

32/64 + 16/64 + 8/64 + 4/64 + 2/64 + 1/64

= (32 + 16 + 8 + 4 + 2 + 1)/64 = 63/64