Question

The sum of all even numbers between 10 and 120 is *

Answer 1

Answer:

2450 is the sum of all even numbers between 10 and 120

Answer 2

Step-by-step explanation:

the sum of all even number b/t 10 and 120 will be 10,12,14,16,....,120.

let A be first number & D be common difference and Tn be last number of the A.P. and also N be numbers of term.

the A.P. and also N be numbers of term.

A=10 D=2 Tn=120

Tn=A+(N-1)D

120=10+(N-1)2

110=2N-2

112=2N

N=51

therefore,

Sn=N/2[2A+(N-1)D]

Sn=51/2[2×10 + 50×2]

Sn=51/2 ×120

Sn=51×60

Sn = 3060

Hence, Sum of all even numbers between 10 and 120 is 3060.