Find the sum of all natural number between 200
and 400, which are dinsible by 7.
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Step-by-step explanation:
Natural numbers between 200 and 400 divisible by 7-
203,210,217,.....,399
The above series forms A.P. with first term 203 and common difference 7.
Also,
Last term =399
Now, An =a+(n−1)d
399=203+(n−1)7
⇒n−1= 399−203 /7
⇒n=28+1=29
Therefore,
Sn = n / 2(a+l)
⇒S29 = 29/2 (29+399)
⇒S 29 =29 / 2 ×328=29×164=4756
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