Concepts and Quiz on Progression(A.P. and G.P.)

Dear Readers,

We shall discuss about Progression(A.P. and G.P.) of the Quant section.  Now a days this topic has became an important part of the Quant Section in  SSC Mains 2015. So Here we will help you in this.We will  provide short notes on Progression(A.P. and G.P.) with Quant Quiz.

Progression : If a collection of numbers (or quantities) are arranged in accordance with a fixed rule , then it is called a sequence or a progression .

There are two types of Progression :

1. Arithmetic Progression (A.P): It is a sequence in which the difference between any two consecutive terms be constant. This constant difference is called the common difference of the progression and denoted by 'd',

For example,3,7,11,15,19 is an Arithmetic Progression with constant difference

= 7-3 = 11-7 = 15-11 = 4,and first term = 3

2. Geometric Progression (G.P): It is a sequence in which the ratio of any term to the just preceding term is a constant This constant ratio is called the common ratio of the G.P.and is denoted by r.

For example, 4,8,16,32,64 is a in which

First term a = 4 and r = 8/4 = 16/8 =32/16 = 2

Some Questions based on Above Concepts:

1. Find the 13th term of the A.P. 11,17,23.....

(1) 83

(2) 85

(3) 93

(4) 86

2. Find the nth term of the A.P. 5,9,13,17.....

(1) 4n+3

(2) 4n+2

(3) 4n+1

(4) 5n+1

3. How many terms are there in the A.P. given by 15,21,27,....279

(1) 85

(2) 55

(3) 43

(4) 45

4. Which term of the sequence 9,14,19.....is 139?

(1) 22

(2) 25

(3) 27

(4) 29

5. Find the 7th term of the G.P. 4,8,16.....

(1) 256

(2) 156

(3) 254

(4) 264