Question

1. Find the sum of first 1000 natural numbers.
2. Evaluate the following sums.
(i) 10 + 11 + 12 + ... +25
(ii) 50 +51 +52 + ... + 100.​

Answer 1

Answer:

Step-by-step explanation:

2

51 + 52 + 53 + ...........+ 100

= (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)

= It is in the form of n(n+1)2 series summationn(n+1)2 series summation

= n1 = 100 , n2 = 50

=[100(100+1)2] − [50(50+1)2]100100+12 - 5050+12

=  (5050 - 1275) = 3775

Answer 2

Answer:

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