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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?

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1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
for 2,5,8,............100 terms
for 3,5,7.............100 terms
as we can see that second series hasall odd termstill 3+(99)2=201
and 1stseries has last term as 2+(99)3=299
as we can see from aboveevery alternate termof 1stseries is present in 2ndalso.(as they are odd)
So the sum ofcommon 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

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