Sequence And Series Question 242
Question: Which of the following sequence is an arithmetic sequence
Options:
A) $ f(n)=an+b;,n\in N $
B) $ f(n)=kr^{n};,n\in N $
C) $ f(n)=(an+b),kr^{n};,n\in N $
D) $ f(n)=\frac{1}{a( n+\frac{b}{n} )};,n\in N $
Show Answer
Answer:
Correct Answer: A
Solution:
Sequence $ f(n)=an+b;\ n\in N $ is an A.P. Putting $ n=1,\ 2,\ 3,\ 4,\ ………., $ we get the sequence $ (a+b),\ (2a+b),\ (3a+b),……… $ which is an A.P. Where first term $ (A)=(a+b) $ and common difference $ d=a $ . Aliter: As we have mentioned in theory part that $ n^{th} $ term of an A.P. is of the form $ an+b,\ \ n\in N $ .
BETA
