Find the sum
of all multiples of 7 lying between 500 and 900.
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Answered by
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Answer:
Sum = 39900
Step-by-step explanation:
Sum = n/2(X1+Xn)
- First Term(X1) = 504
- Last Term(Xn) = 896
- Common Difference(d) = 7
- Number of Terms(n) = [(Xn-X1)/d]+1 = [(896-504)/7]+1 = (392/7)+1 = 56+1 = 57
∴ S = (57/2)(504+896)
⇒ s = 28.5 × 1400 = 39900
∴ Sum = 39900
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