# Comparative Study of Arithmetic Progression By Using Modern and Vedic Mathematics

## Abstract

Finding the nth term and the sum of n terms in Arithmetic Progression is very easy if the number of terms is small but it is bulky if the number of terms is larger and takes larger time and also takes our large efforts and difficulties. On the other hand, the Vedic Mathematics works opposite as the modern mathematics so if we use the third sutra of Vedic Mathematics known as Urdhvatiryagbhyam, seventh sutra known as Sankalan-Vyavkalanabhyam and Upa-sutra(Subformula) Antyyoravto of 9th sutra 'Calana - Kalanabhyam’ finding the nth term and the sum of n term’s in Arithmetic Progression it takes our large effect’s reduced around 60-65% and also takes small-time comparatively modern mathematics. The arithmetic pattern is one of the easiest series to study. It contains adding or subtracting from a common difference (d), for generating a string of the interrelated numbers. Thus In this document, we present the comparison to find the nth term and the sum of n terms in Arithmetic Progression by using modern mathematics and Vedic mathematics.