Question

If any one term of an arithmetic progression along with the position of the term in the A.P. and the common difference are known, then which of the following can be found out.

• A. The first term.
• B. The term before the known term.
• C. The term after the known term.
• D. All of the above.

Answer 1

Answer: (D)

All of the above.

When one term of the arithmetic progression is known along with the common difference, then using that value of the common difference, the terms before and after the known term can be found out. Also substituting the values for $d,n$(the position of the term in the A.P. is known) and tn are known, then the value for a or the first term can be found out using the formula $t_n=a+(n-1)d$.