If a constant is multiplied to A.P. then resulting sequence is also an A.P.(a) True(b) FalseI had been asked this question during a job interview.My doubt is from Arithmetic Progression(A.P.) topic in chapter Sequences and Series of Mathematics – Class 11

If a constant is multiplied to A.P. then resulting sequence is also an

1.	If a constant is multiplied to A.P. then resulting sequence is also an A.P.(a) True(b) FalseI had been asked this question during a job interview.My doubt is from Arithmetic Progression(A.P.) topic in chapter Sequences and Series of Mathematics – Class 11
Answer» The correct answer is (a) True To explain I WOULD say: Let X be the CONSTANT which is MULTIPLIED to each term of an A.P., then an’ = an * x and a’ = a * x. So n^th term will be an’ = an * x = (a+(n-1) d) * x = (a * x) + (n-1) d x = a’ + (n-1) x d which is n^th term of an A.P.

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