Question

Find the sum of all even integers between 101 and 999​

Answer 1

Answer:

What would you like to ask?

11th

Maths

Sequences and Series

Arithmetic Progression

Find the sum of all even in...

MATHS

Find the sum of all even integers between 101 and 999.

MEDIUM

Share

Study later

ANSWER

The series is given as,

102,104,..........,998

a=102

d=104−102=2

a

n

=a+(n−1)d

998=102+(n−1)2

896=2(n−1)

448=n−1

n=449

S

n

=

2

n

[2a+(n−1)d]

S

449

=

2

449

[2(102)+(449−1)2]

=

2

449

×1100

=246,950