How to Find Term Number (N) from Nth term Formula of Arithmetic Sequences - ItsMyAcademy.comItsMyAcademy.com

# How to Find Term Number (N) from Nth term Formula of Arithmetic Sequences

How to Find Term Number (N) from Nth term Formula of Arithmetic Sequences

In previous videos we learn uses of nth term formula of arithmetic progression. Very often we say this formula as general term of arithmetic progression too.

Now, in this video we are going to learn how to find the term number using nth term formula of arithmetic sequence.
I hope you are ready with pen and notebook.

So let’s begin our lesson!

So friend how was it?

In this problem, we are given the first term, common difference and nth term also but we have to confirm here that the nth term is which term I mean what is the value of N.

Steps to find Term Number of Arithmetic Progression
1. First write all the given information
2. Put all the information given in the nth term formula of the Arithmetic progression.
3. You will get an equation with one variable “n”
4. Solve the equation and get the term number n.

Here I have listed few problems related to nth term just like above. Please try to solve these all problems based on nth term formula of arithmetic sequences.

Q1. Which term of an Arithmetic progression 3, 8, 13, …………is 248? (Answer- 50
Q2. Which term of an Arithmetic progression 84, 80, 76, …………………is 0 ? (Answer- 22)
Q3. Which term of an Arithmetic progression 4, 9, 14, ………………… is 254? (Answer- 51)
Q4. Which term of an Arithmetic progression 21, 42, 63, 84, ……………………..is 420? (Answer- 20th term)
Q5. Which term of an Arithmetic progression 121, 117, 113, ………………..is its first negative term ? (Answer- 32nd )

If you feel any problems or don’t understand please comment !