# Harmonic Progression Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Harmonic Progression Question and Answer Set 1**. It will help you to practice the questions on the topics of maths as harmonic progression based questions of algebra.

**Harmonic Progression Question and Answer Set 1: Ques No 1**

In HP, the sum of first two terms is 17/70, the sum of next two terms is 5/4, the sum of following next two terms is -7/10. The sum of following next two terms is

**Options:**

A. -64/75

B. -18/63

C. -19/88

D. None of these

**Answer: C**

**Harmonic Progression Question and Answer Set 1: Ques No 2**

In HP, the 2^{nd} term of an HP is 40/9 and the 5^{th} term is 20/3. Find the maximum possible number of terms in H.P.

**Options:**

A. 9

B. 10

C. 11

D. 12

**Answer: B**

**Harmonic Progression Question and Answer Set 1: Ques No 3**

If a, b, c are in HP, then a/(b + c), b/(c + a), c/(a + b) are in

**Options:**

A. AP

B. GP

C. HP

D. None of these

**Answer: C**

**Harmonic Progression Question and Answer Set 1: Ques No 4**

A person drives a car from A to B with a speed of 60 km/hr and returns from B to A with a speed of 40 km/hr. What is the average speed for the whole journey?

**Options:**

A. 40 km/h

B. 50 km/h

C. 48 km/h

D. 52 km/h

**Answer: C**

**Harmonic Progression Question and Answer Set 1: Ques No 5**

The sum of the reciprocals of three numbers in HP is 12 and the product of the number is 1/48. The second number is

**Options:**

A. 1/2

B. 1/4

C. 1/6

D. None of these

**Answer: B**

**Harmonic Progression Question and Answer Set 1: Ques No 6**

If a_{1}, a_{2}, a_{3}, … an are in HP, then the sum of a_{1}a_{2} + a_{2}a_{3} + … + a_{n-1}a_{n} is

**Options:**

A. a_{1}a_{n}

B. na_{1}a_{n}

C. (n – 1)a_{1}a_{n}

D. None of these

**Answer: B**