Question

sum of first 35 terms of the series 1/2+1/3-1/4-1/2-1/3

Answer 1

S = 1 + (1/2) + (1/3) + (1/4) + (1/5) + (1/6) + (1/7) + (1/8) .....infinity

1/3 > 1/4 
1/5 > 1/8 ; 1/6 > 1/8 ; 1/7 > 1/8

S > 1 + (1/2) + (1/4) + (1/4) + (1/8) + (1/8) + (1/8) + (1/8) .....infinity

S > 1 + (1/2) +       (1/2)       +                (1/2)  .....infinity

S> 1 + n/2 ( where n is tending to infinity)

Therefore, sum of the given series is infinity