## Assertion Reason Questions for Class 10 Maths Chapter 5 Arithmetic Progression

**Directions:**

(a) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

(b) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

(c) If Assertion is correct but Reason is incorrect.

(d) If Assertion is incorrect but Reason is correct.

**Q.1. Assertion :** Let the positive numbers a, b, c be in A.P., then 1/bc, 1/ac, 1/ab are also in A.P. **Reason :** If each term of an A.P. is divided by abc, then the resulting sequence is also in A.P.

**Show Answer**

Answer: (a)
**Q.2. Assertion :** If S_{n} is the sum of the first n terms of an A.P., then its nth term an is given by a_{n} = S_{n} – S_{n – 1} .**Reason :** The 10th term of the A.P. 5, 8, 11, 14, ………………. is 35.

**Show Answer**

Answer: (c)
**Q.3. Assertion :** The sum of the series with the nth term, t_{n} = (9 – 5n) is (465), when no. of terms n = 15. **Reason :** Given series is in A.P. and sum of n terms of an A.P. is