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2,5,8,.........100 terms 3,5,7...........100 terms Find the sum of all the common terms of both the AP’s?

 
2,5,8,.........100 terms
3,5,7...........100 terms
 
Find the sum of all the common terms of both the AP’s?

Grade:

2 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
for 2,5,8,............100 terms
for 3,5,7.............100 terms
as we can see that second series has all odd terms till 3+(99)2=201
and 1stseries has last term as 2+(99)3=299
as we can see from above every alternate term of 1stseries is present in 2ndalso.(as they are odd)
So the sum of common terms of Ap’s=5+11+17+.......+201
=n/2(a+l)
=34/2(5+201)
=17(206)
=3502
Thanks and regards
Shaik Aasif
askIITians faculty
Student
8 Points
7 years ago
@shaikaasifahamed
Sir,
Thank you for your reply.
201 is not presnt in the first ap then also we should include this number.
 

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