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If Any Terms Of An Ap Is Non Zero And D Not Equal 0 Then Sigma R Equal 1 To N 1 1 By Ar

(1) n/a1an (2) (n-1)/a1an (3) (n+1)/a1an (4) 2n/a1an Solution: \(\begin{array}{l}\sum_{r=1}^{n-1}\frac{1}{a_{r}a_{r+1}}=\frac{1}{d}\sum_{r=1}^{n-1}\frac{d}{a_{r}a_{r+1}}\end{array} \) = \(\begin{array}{l}\frac{1}{d}\sum_{r=1}^{n-1}\frac{a_{r+1}-a_{r}}{a_{r}a_{r+1}}\end{array} \) = \(\begin{array}{l}\frac{1}{d}\sum_{r=1}^{n-1}\frac{1}{a_{r}}-\frac{1}{a_{r+1}}\end{array} \) = \(\begin{array}{l}\frac{1}{d}\left (... View Article

Define Monsoon

A monsoon (from the Arabic mausim, which means ‘season’) arises due to a difference in temperatures between a landmass and... View Article

Define Weedicides

The undesirable plants that grow along with the crops are called weeds. These weeds, feed on the nutrients provided to... View Article

Define Presbyopia

For most people, the near point gradually recedes and the far point comes closer. This defect is called presbyopia. As... View Article

What Is Watan Jagir

Watan Jagirs were the persons who collected taxes from each village and gave them to mansabdars and mansabdars gave the... View Article

Define Ereservation

E – reservation also known as electronic reservation refers to making the appointments online, by using the internet. A person... View Article