Question

What is the nth term of the arithmetic sequence $1,3,5,7,9,\mathrm{11...}?$

• A. $n+1$
• B. $n-1$
• C. $2n+1$
• D. $2n-1$

Answer 1

The correct option is D $2n-1$

Clearly, the difference of successive terms of above sequence is constant which is 2

So given sequence is in AP with first term $1$ and common difference $2$

Hence general term is, $a_n=a+(n-1)d=1+(n-1)2=2n-1$

Hence option (D) is correct choice