Question

What is the sum of 2,4,6,8.........60

Answer 1

Answer:

Method 1 :-

Using Simple logic

To sum up this series

2+4+6+8+...+98+100

Take 2 common, so you will get

2(1+2+3+4+...+49+50)

We know the formula for sum of continuous series that is n(n+1)2

2(n(n+1)2)

n(n+1)

50(51)

50×51=2550

Sum of this series is 2550

Method 2 :-

Sum=n2.(a+l)

Where n is no. of term(s) , a is first term & l is last term.

n=last−termdifference−in−series

Sum=502.(2+100)

25×102=2550

Answer 2

2,4,6,8......60

Answer=930