1.

Integers between 50 and 500 that divisible by 6

Answer»

Step-by-step EXPLANATION:

The required A.P is

56, 63, 70,.........., 497

a = 56

d = T2 - T1

d = 63 - 56

d = 7

Tn = a +(n-1)d

497 = 56 + (n-1)7

497-56 = (n-1)7

441/7 = n-1

63 +1 = n

n = 64 terms

Sn = n/2 (a+l)

S 64 = 64/2 ( 56 + 497)

S 64 = 32 x 553

S 64 = 17,696

Hence the SUM of all INTEGERS between 50 and 500 divisible by 7 is 17,696.

4.7

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