Find the sum of all such multiples of 7 which are less than 500.
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1
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Answer is easy...give it a try by yourself
Step-by-step explanation:
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4
Answer:
Step-by-step explanation:
Let the multiples of 7 less than 500 be the A.P: 7,14,21.....497
Here, 1st term (a) = 7
Common difference (d) = 14 -7 = 7
Last term (l) = 497
So, l = a+(n-1)d
497 = 7+(n-1) × 7
497- 7 = (n-1) × 7
490/7 = n-1
70 = n-1
n=70+1 = 71
Now, Sn = n/2(a + l)
= 71/2 (7 + 497)
= 71/2 × 504
= 71×252
= 17892
Hence the required sum is 17892
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