(ii) Find the sum of all natural numbers between 100 and 200 which are divisible
by 4
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Answer:
The numbers between 100 and 200 which are divisible by 4 are 104,108,112,...,196.
This is an AP with first term a=104, common difference d=4 and last term l=196.
Let there be n terms in this AP. Then,
a
n
=196⇒a+(n−1)d
196=104+(n−1)×4
∴n=24
∴ Required sum =S
n
=
2
n
[a+l]=
2
24
[104+196]=3600
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