# Geometric Progression Question and Answer Set 1

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

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

The value of

is

**Options:**

A. 1

B. 1/2

C. 1/3

D. Infinite

**Answer: B**

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

In a geometric progression, the common ratio is half of the first term. If 4^{th} term of the GP is 32, then the value of 15^{th} term is

Options:

A. 2^{4}

B. 2^{8}

C. 2^{16}

D. None of these

**Answer: C**

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

The sum of n term of the series 0.8 + 0.88 + 0.888 + 0.8888 + … is

Options:

A. 0.8^{n}

B. 8^{n-1}

C. (8/81)(10^{-n} – 9n + 1)

D. (8/81)(10^{-n} + 9n – 1)

**Answer: D**

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

The sum of n term of the GP 7/10 + 7/100 + 7/1000 + 7/10000 + … is

Options:

A. (7/9)(10^{-n} – 1)

B. (7/81)(10^{-n} – 1)

C. (9/7)(10^{-n} – 1)

D. (7/90)(10^{-n} – 1)

**Answer: A**

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

If (x^{a+2} + y^{a+2})/(x^{a+1} + y^{a+2}) is the GM between x and y, then the value of a is

Options:

A. -2/3

B. -1/4

C. -3/2

D. 7/6

**Answer: C**

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

In a GP, the sum of the first two terms is 36 and the product of the first and third terms is 9 times the second term. The sum of the first 8 terms is

Options:

A. 3480/81

B. 3280/81

C. 3680/81

D. 3880/81

**Answer: B**

**Geometric Progression Question and Answer Set 1: Ques No 7**

There are five numbers are in AP with common difference is not equal to zero. If the first, third and fourth of these numbers are in GP, then which of the following is true?

Options:

A. First number is zero.

B. Third number is zero.

C. Fifth number is zero.

D. None of these

**Answer: C**