sum of the natural number between 500 and 1000 which are divisible by 105
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Answer: Sum=3675
Step-by-step explanation:
Number between 500 and 1000 which are divisible by 105 can be used to form a series of Arithmetic Progression like
525,630.......945.
Now, taking First term = 525 and common difference = 105,
nth term = 945= 525+(n-1)105
On solving the above equation, we get n=5.
Now Sum of 5 terms of an A.P. =
(n/2)(first term+last term)
=(5/2)(525+945)
=3675
And that's the explanation... Hope it Helped all...:-)
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