Question

If two terms of an arithmetic progression are known, which values need to be determined to form the entire arithmetic progression?

• A. If $a$ and $d$ can be found out.
• B. If $a$ and $n$ can be found out.
• C. If $n$ and $d$ can be found out.
• D. If $t_n$ and $n$ can be found out.

Answer 1

The correct option is A If $a$ and $d$ can be found out.

If two terms of an arithmetic progression, then the two terms can be represented using $t_n=a+(n_1-1)d$ and $a+(n_2-1)d$. These two equations can be solved for finding the values of '$a$' and '$d$'.

The arithmetic progression can be formed after the values of a and d are known.