The number of common terms in the two sequences 17, 21, 25, ... , 417 and 16, 21, 26, ... , 466 is
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Answer:
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
when there are 2 arithmetic progressions and you need to obtain a new sequence having terms common to both APs.
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
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)
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
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 4whereas for series 2 its 5
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 4whereas for series 2 its 5so the new AP will have c.d=lcm(4,5)=20
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 4whereas for series 2 its 5so the new AP will have c.d=lcm(4,5)=20the new series becomes
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 4whereas for series 2 its 5so the new AP will have c.d=lcm(4,5)=20the new series becomes 21,41,61,81....................401
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 4whereas for series 2 its 5so the new AP will have c.d=lcm(4,5)=20the new series becomes 21,41,61,81....................401401=21+(n-1)20
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 4whereas for series 2 its 5so the new AP will have c.d=lcm(4,5)=20the new series becomes 21,41,61,81....................401401=21+(n-1)20so n=20 terms is your answer