Question

Find the sum of all the numbers between 1000 and 1300 which are divisible by 7​

Answer 1

Answer:

The sum of all the numbers between 1000 and 1300 which are divisible by 7 is 49,364

Step-by-step Explanations :

Numbers between 1000 and 1300 divisible by 7,

1001,1008,1015 ..1295

Here, a = 1001 , common difference d = 1008 - 1001 = 7

Let total numbers be n, then Tn = 1295

=> a + (n - 1) = 1295

=> 1001 + (n - 1)7 = 1295

=> (n-1)7 = 1295 - 1001 = 294

=> (n-1) = 294/7 = 42

=> n = 1 + 42= 43

We know that,

Sum of n numbers = n/2 {2a + (n-1)d}

S43 = 43/2 { 2×1001 + (43-1)7}

= 43/2 { 2002 + 294 }

= 43/2 × 2296

S43 = 49,364

Hence, the sum of all the numbers between 1000 and 1300 which are divisible by 7 is 49,364

Answer 2

Answer:

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