10. Find the sum of all the odd numbers between 0 and 500 which are divisible by 7.
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Answered by
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
1
Answer:
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Step-by-step explanation:
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