Question

If A=1-2+3-4+5+......+99;B=2+4+6+8+....... +100 then the value of A+B

Answer 1

Answer:

9901

Step-by-step explanation:

Given

A = 1 + 3 + 5 + .... 99 - (2 + 4 + 6 + ..... + 98)

B = 2 + 4 + 6 + ..... + 100

∴ A + B = 1 + 3 + 5 + .... 99 - (2 + 4 + 6 + ..... + 98) + 2 + 4 + 6 + ..... + 98 + 100

            = 99² + 100     [∵ sum of first n odd natural numbers = n²]

            = 9801 + 100

            = 9901

Answer 2

Answer:

both are same answer

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