Question

plzz solve this guys.....

Answer 1

As

1² - 2² = 1 - 4 = -3

3² - 4² = 9 - 16 = -7

5² - 6² = 25 - 36 = -11

7² - 8² = 49 - 64 = -15

This is an arithmetic series with a common diference of -4.

The last term: (this is the 50th term)

99² - 100² = 9801 - 10000 = -199

The formula for the sum of an arithmetic series is: Sum = n(f + l) / 2

where n = number of terms (50) f = first term (-3) l = last term (-199)

Sum = (50)(-3 + -199) / 2 = -5050

hope this answer definitely helps u