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CPT Section D - Quantitative Aptitude Chapter 6 
 
CA. Loveneesh Kapoor 
Page 2


CPT Section D - Quantitative Aptitude Chapter 6 
 
CA. Loveneesh Kapoor 
Learning Objectives 
Understand the concept of Sequence and Series 
Understand the nature of sequences-Arithmetic Progression  
(A.P .) and Geometric Progression (G.P .) 
To find any term of the sequence or the sum of all terms in the 
sequence 
Understand various formulas of A.P and G.P series. 
Numerical as well as mathematical problems related to the A.P 
and G.P Series. 
Page 3


CPT Section D - Quantitative Aptitude Chapter 6 
 
CA. Loveneesh Kapoor 
Learning Objectives 
Understand the concept of Sequence and Series 
Understand the nature of sequences-Arithmetic Progression  
(A.P .) and Geometric Progression (G.P .) 
To find any term of the sequence or the sum of all terms in the 
sequence 
Understand various formulas of A.P and G.P series. 
Numerical as well as mathematical problems related to the A.P 
and G.P Series. 
Sequences-Pattern 
Guess the next number in the following cases 
1,4,7,10,__,___ 
Next no. will be 13 and then 16 following a definite order of succession of 3. 
5,15,25,__,… 
Next term will be 35, adding definite succession of 10 to the previous number 
25. 
Now Next Number can be judged because there is a definite pattern and the 
sequence is worked out with a common difference among all the numbers. 
This succession is called as ARITHMETIC PROGRESSION (A.P .) 
Page 4


CPT Section D - Quantitative Aptitude Chapter 6 
 
CA. Loveneesh Kapoor 
Learning Objectives 
Understand the concept of Sequence and Series 
Understand the nature of sequences-Arithmetic Progression  
(A.P .) and Geometric Progression (G.P .) 
To find any term of the sequence or the sum of all terms in the 
sequence 
Understand various formulas of A.P and G.P series. 
Numerical as well as mathematical problems related to the A.P 
and G.P Series. 
Sequences-Pattern 
Guess the next number in the following cases 
1,4,7,10,__,___ 
Next no. will be 13 and then 16 following a definite order of succession of 3. 
5,15,25,__,… 
Next term will be 35, adding definite succession of 10 to the previous number 
25. 
Now Next Number can be judged because there is a definite pattern and the 
sequence is worked out with a common difference among all the numbers. 
This succession is called as ARITHMETIC PROGRESSION (A.P .) 
Sequence-Meaning 
A succession of terms arranged in a definite order and following 
some definite rule or law. 
In other words, numbers or objects arranged in a definite order. 
Example 
1,3,5,7,9, ….. Odd Numbers 
2,4,6,8,10 …..Even Numbers 
Page 5


CPT Section D - Quantitative Aptitude Chapter 6 
 
CA. Loveneesh Kapoor 
Learning Objectives 
Understand the concept of Sequence and Series 
Understand the nature of sequences-Arithmetic Progression  
(A.P .) and Geometric Progression (G.P .) 
To find any term of the sequence or the sum of all terms in the 
sequence 
Understand various formulas of A.P and G.P series. 
Numerical as well as mathematical problems related to the A.P 
and G.P Series. 
Sequences-Pattern 
Guess the next number in the following cases 
1,4,7,10,__,___ 
Next no. will be 13 and then 16 following a definite order of succession of 3. 
5,15,25,__,… 
Next term will be 35, adding definite succession of 10 to the previous number 
25. 
Now Next Number can be judged because there is a definite pattern and the 
sequence is worked out with a common difference among all the numbers. 
This succession is called as ARITHMETIC PROGRESSION (A.P .) 
Sequence-Meaning 
A succession of terms arranged in a definite order and following 
some definite rule or law. 
In other words, numbers or objects arranged in a definite order. 
Example 
1,3,5,7,9, ….. Odd Numbers 
2,4,6,8,10 …..Even Numbers 
Arithmetic Progressions  
(A.P . Series) 
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FAQs on PPT of Ch 6.1, Arithmetic progression, Sequence and Series, Quantitative Aptitude - Quantitative Aptitude for CA Foundation

1. What is an arithmetic progression?
Ans. An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is always the same. This difference is called the common difference, denoted by 'd'.
2. How do you find the nth term of an arithmetic progression?
Ans. The nth term of an arithmetic progression can be found using the formula: nth term = first term + (n-1) * common difference where the first term is denoted by 'a' and 'n' represents the position of the term in the sequence.
3. What is the sum of an arithmetic progression?
Ans. The sum of an arithmetic progression can be calculated using the formula: Sum = (n/2) * (2a + (n-1)d) where 'n' is the number of terms, 'a' is the first term, and 'd' is the common difference.
4. Is it necessary for an arithmetic progression to always have a common difference?
Ans. Yes, it is necessary for an arithmetic progression to have a common difference. The common difference determines the pattern and the relationship between the terms in the sequence. Without a common difference, the sequence cannot be classified as an arithmetic progression.
5. Can the common difference in an arithmetic progression be negative?
Ans. Yes, the common difference in an arithmetic progression can be negative. The common difference can be positive, negative, or zero, depending on the pattern and the relationship between the terms in the sequence.
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