## RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.2

These Solutions are part of RD Sharma Class 10 Solutions. Here we have given RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.2

**Other Exercises**

- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.1
- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.2
- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.3
- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.4
- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.5
- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.6
- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions VSAQS
- RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions MCQS

**Question 1.**

Show that the sequence defined by a_{n} = 5n – 7 is an A.P., find its common difference.

**Solution:**

**Question 2.**

Show that the sequence defined by a_{n} = 3n² – 5 is not an A.P.

**Solution:**

**Question 3.**

The general term of a sequence is given by a_{n} = -4n + 15. Is the sequence an A.P.? If so, find its 15th term and the common difference.

**Solution:**

General term of a sequence

a_{n} = -4n + 15

**Question 4.**

Write the sequence with nth term :

(i) a_{n} = 3 + 4n

(ii) a_{n} = 5 + 2n

(iii) a_{n} = 6 – n

(iv) a_{n} = 9 – 5n

Show that all of the above sequences form A.P.

**Solution:**

**Question 5.**

The nth term of an A.P. is 6n + 2. Find the common difference. **[CBSE 2008]**

**Solution:**

**Question 6.**

Justify whether it is true to say that the sequence, having following nth term is an A.P.

(i) a_{n} = 2n – 1

(ii) a_{n} = 3n² + 5

(iii) a_{n} = 1 + n + n²

**Solution:**

Hope given RD Sharma Class 10 Solutions Chapter 5 Arithmetic Progressions Ex 5.2 are helpful to complete your math homework.

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