Question

1/1x2+1/2x3+1/3×4...+1/31×32 va multumesc celor care isi rup din timp sa ma ajute.

Answer 1

Răspuns:

Explicație pas cu pas:

1/1x2 + 1/2x3 + 1/3×4 + ... + 1/31×32

1/1x2 = 1 - 1/2

1/2x3 = 1/2 - 1/3

1/3x4 = 1/3 - 1/4

.....................

1/31x32 = 1/31 - 1/32

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1/1x2 + 1/2x3 + 1/3×4 + ... + 1/31×32 = 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/31 - 1/32

1/1x2 + 1/2x3 + 1/3×4 + ... + 1/31×32 = 1 - 1/32 = 32/32 - 1/32 = 31/32