Question

Find the sum of the even integers from 1 to 50

Answer 1

Answer:

650

Step-by-step explanation:

Formula: Sn= n/2 (a1+an)

(Number of terms) n=25

(First term) a1= 2

(Last term) an= 50

S25= 25/2 (2+50)

= 25/2(52)

=(52x25)/2

=650

MANUAL:

2+4+6+8+10+12+14+16...+50 =650

Answer 2

Given  : even integers from 1 to 50

To Find : Sum

Solution:

even integers from 1 to 50

= 2 , 4 , 6 , 8 , ... ______ , 48 , 50

Adding all

2 + 4 + 6 + 8 + ... _____ + 48 + 50

Taking 2 common

= 2(1 + 2 + 3 + 4 + ... ____ + 24 + 25)

∑n = n(n + 1)/2

= 2 (25)(25 + 1)/2

= 25 (26)

= 650

Sum of  even integers from 1 to 50 is 650

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