**NCERT/CBSE MATHS Class 10 Ex-5.2 Q No.6**** Solutions : **** Check whether -150 is a term of the A.P. 11, 8, 5, 2, …**

Hy Friends Welcome On **NCERT MATHS SOLUTIONS** !! Today we are going to solve the Question : **”**** Check whether -150 is a term of the A.P. 11, 8, 5, 2, …****” **of** Exercise 5.2 Question No 6 Solutions (Arithmetic Progressions)** of Class 10th, which will prove to be very helpful for you.

**CBSE/NCERT MATHS Class 10 Ex-5.2 Q No. 6 Solutions**

If you are a student of CBSE, today we are going to give you the **CBSE / NCERT** **Chapter : Arithmetic Progressions ** **Exercise 5.2 Question No – 6** **Solutions** . Hope you like this post about Class 10th Maths Solution.

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**Arithmetic Progressions CHAPTER : 5**

n this progression, for a given series, the terms used are the first term, the common difference between the two terms and nth term.

Suppose, a_{1}, a_{2}, a_{3}, ……………., a_{n} is an AP, then;_{ }the **common difference “ d ”** can be obtained as; In this progression, for a given series, the terms used are the first term, the common difference between the two terms and nth term.

**a, a + d, a + 2d, a + 3d, a + 4d, ………. ,a + (n – 1) d**

**Exercise- 5.2 Question No. 6 :**

** Check whether -150 is a term of the A.P. 11, 8, 5, 2, …**

**Class 10 Exercise 5.2 Question No. 6 Solutions**

For this A.P.,

*a* = 11

*d* = *a*_{2} − *a*_{1} = 8 − 11 = −3

**Let −150 be the n ^{th} term of this A.P.**

We know that,

**a**

_{n}= a + (n − 1) d-150 = 11 + (

*n*– 1)(-3)

-150 = 11 – 3

*n*+ 3

-164 = -3

*n*

*n*= 164/3

Clearly,

*n*is not an integer.Therefore,

**– 150 is not a term of this A.P.**

## **OR**

**Solution:**

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