Question

# If l, m, n are the terms of a G.P which are +ve, then

- 3
- 2
- 1
- 0

Hint:

### The formula for the n^{th} term of the geometric progression is:

**an = ar**^{n-1}

where, a is the first term

- r is the common ratio
- n is the number of the term which we want to find.

^{n-1}

## The correct answer is: 0

### Given : l, m, n are the terms of a G.P

We know that in GP

where,

- a is the first term
- r is the common ratio
- n is the number of the term which we want to find.

Using this :

Substituting these values in :

We know that

Using these formulas and further simplifying

Thus, 0

### Related Questions to study

### The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm

### The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm

### Fifth term of G.P is 2 The product of its first nine terms is

Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.

### Fifth term of G.P is 2 The product of its first nine terms is

Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.