Find the number of common terms in two sequences
Asked by admin @ in Math viewed by 334 People
Number of common terms to the two sequence 17,21,25,.....417 and 16,21,26.....466 is
Answered by admin @
Always remember
when there are 2 arithmetic progressions and you need to obtain a new sequence having terms common to both APs.
the common difference for the new sequence will be
lcm(c.d of AP 1,c.d of AP 2)
in this case c.d of series 1 is 4
whereas for series 2 its 5
so the new AP will have c.d=lcm(4,5)=20
the new series becomes
21,41,61,81....................401
401=21+(n-1)20
so n=20 terms is your answer
feel free to ask doubt
thank you
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