Question

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

Answer 1

Answer:

The sum of all even integers between 101 and 999 is 246950.

hope will help you

Answer 2

Answer:

246950

Step-by-step explanation:

Even integers btw 101 and 999 = 102, 104, ..... 998

a = 102

An = 998

d = 2

n = ?

Sn = ?

An = a + (n-1)*d

998 = 102 + (n-1)*2

998 - 102 = (n-1)*2

896 = (n-1)*2

896/2 = n-1

448 = n-1

448+1 = n

n = 449

Sn = n/2*(a + An)

Sn = 449/2 * (102 + 998)

Sn = 449/2 * (1100)

Sn = 449 * 550

Sn = 246950

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