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Find the sum of all those integers between 100 and 800 each of

Question

Find the sum of all those integers between $100$ and $800$ each of which on divison by $16$ leaves the remainder $7$ .

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Elizabeth Discussed

Find the sum of all those integers between

100

and

800

each of which on divison by

16

leaves the remainder

7

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

According to the question-

Series comes to be

103, 119, ............, 791

and the series is

A P

then

a_{n} = a + (n - 1) d

791 = 103 + (n - 1) 16

688 = (n - 1) 16

n - 1 = 43

n = 44.

Hence, there are

44

terms.

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Question Text	Find the sum of all those integers between $100$ and $800$ each of which on divison by $16$ leaves the remainder $7$ .
Answer Type	Text solution:1
Upvotes	150