Question

52+54+56+........+120=?​

Answer 1

Answer:

288

Step-by-step explanation:

1st add 52 and 54

than 56 126

its that easy dude

Answer 2

Hey !

52 + 54 + 56 + ........... + 120 = ?

Here, you can use the formula for Arithmetic progression i.e., AP[sum of n nos =n/2(2a+(n-1)d]

For Even numbers, the same formula can be deduced to n(n+1); as a = 2 and d = 2.

Step-1:

We find the sum of even numbers upto 120

i.e., 2+4+6+ ........+120

here, n = 120/2 = 60

•°• Sum of the 60 even numbers , S1= 60(60+1) = 60(61) = 3660

Step-2:

We find the sum of even numbers upto 50

i.e., 2+4+6+......+50

here n = 50/2 = 25.

•°• Sum of the 25 even numbers, S2= 25(25+1) = 25(26) = 650

Step-3

Now we remove the sum S2 from S1 to get the sum of even numbers from 52 to 120.

=> 3660 - 650 = 3010

•°• 52+54+56+........+120= 3010

Meowwww xD.