Math, asked by name7245, 5 months ago

10. Find the sum of all the odd numbers between 0 and 500 which are divisible by 7.​

Answers

Answered by sharanyalanka7
4

Answer:

Step-by-step explanation:

Odd numbers between 0 and 500 are: 7, 21, 35, 49,..,483,497.

Using Arithmetic Progression (AP) method to solve the problem:

a (first term) = 7

l (last term) = 497

n (number of terms) = ?

d (common difference) = 14

To find the number of terms, n

l = a + (n - 1)*d

497 = 7 + (n - 1)*14

497 = 7 + 14n - 14

14n = 504n = 504/14

n = 36

To find the sum of the arithmetic progression, S

S = 0.5*n(a + l)

S = 0.5*36 (7 + 497)

S = 18(504)

S = 9072

OR

S = 0.5*n(2a + (n - 1)*d)

S = 0.5*36(14 + (35)14)

S = 18(504)

S = 9072

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Answered by adithyandevadas1114
1

Answer:

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Step-by-step explanation:

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