Question

find sum of all natural no. between 500 and 1000 which are divisible by 13​

Answer 1

Answer:

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Step-by-step explanation:

The numbers between 500 & 1000

divisible by 13:

507 , 520, ........... 988

here

t2 - t1 = t3 - t2 = 13

This forms an A.P

a = 507 , d = 13 , tn = 988

We know that,

tn = a +(n - 1) d.......................[formula]

988 = 507 + (n - 1) 13

988 = 507 +13n - 13

988 = 494 + 13n

988 - 494 = 13n

494 = 13n

13n = 494

n = 494/13

n = 38

We know that,

See the image

Therefore,

The sum of all numbers between 500

& 1000 divisible by 13 is 28,405