Question

Is there any number common to the arithmetic sequences : 32,39,46... and 37, 44, 51.... Justify your answer.​

Answer 1

Answer:

let nth term is common

in 1st sequence 1st term a=32, common difference d=(39-32)=7

so nth term is 32+(n-1).7

in 2nd sequence 1st term a=37, common difference d=(44-37)=7

so, nth term 37+(n-1).7

here,

32+(n-1).7=37+(n-1).7

there is no solution,so there is no number common to the arithmetic sequence s