If $ p^{th} $ term of an AP is k, then what is the sum of $ p^{th} $ term, $ (p + q)^{th} $ term and $ (p - q)^{th} $ term of the AP ?

Question

SquadPrep · Accepted Answer

3k. The $ (p-q)^{th} $ and $ (p+q)^{th} $ terms are symmetric around the $ p^{th} $ term. Their sum is $ 2 \times k $. Adding the $ p^{th} $ term gives a total sum of $ 3k $.

Answer

2k

Answer

4k

Answer

5k

If \( p^{th} \) term of an AP is k, then what is the sum of \( p^{th} \) term, \( (p + q)^{th} \) term and \( (p - q)^{th} \) term of the AP ?

Explanation

Related questions on Algebra