If times the term of an AP is equal to times the term. Show that term of the AP is zero.
Step 1: Find the terms using the AP formula.
The formula for finding the term of an AP is ,
Where is the first term, is the number of terms and is the difference between the terms.
Step 2: Solve for the value of with respect to the condition.
According to the condition,
Substitute the respective values and solve.
Step 3: Put the value of in the term.
Hence, it is proved that, the term of an AP is zero, if times its term is equal to times its term.