Math, asked by hera31, 1 year ago

find the sum of all even no from 2 to 350

Answers

Answered by Anonymous
2
heres ur answer in the attachment
hope it helps u
Attachments:

Anonymous: thanhs
hera31: ok welcome
Answered by mysticd
1
Hi ,

2 , 4 , 6 , ...., 350 are all even

numbers from 2 to 350 are in

Arithmetic progression.

Common difference ( d ) = a2 - a1

d = 4 - 2 = 2

First term ( a ) = 2

Last term ( L ) = 350

a + ( n - 1 )d = 350

2 + ( n - 1 ) 2 = 350

Divide each term with 2 , we get

1 + n - 1 = 175

n = 175

Sum of n terms Sn = ( n/2 )[ a + L ]

S175 = ( 175/2 ) [ 2 + 350 ]

= ( 175 × 352 )/2

= 175 × 176

= 30800

I hope this helps you.

: )
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