MCQ Quiz for 10th Maths

Chapter 5 Real Numbers

Class 10 Mathematics Chapter 5 Arithmetic Progression AP Multiple Choice Questins Quiz / MCQ Quiz online test base on NCERT useful for NTSE Maths Olympiad Board Exam Important Questions.

  • Total Questions =10
  • To know total Marks Obtainde a button is given at end of the Quiz.
  • There is no negative Marking.


10th Maths Online Test: AP

2838

Q. 1. Which one is an A.P. series?

2837

Q. 2. $12^{\text {th }}$ term of the A.P.: $7,10,13,16, \ldots .$. is:

2852

Q. 3. If $3^{\text {rd }}$ term of an A.P. is 5 and $7^{\text {th }}$ term is 13 , then its common difference is:

2839

Q. 4. Which one is an A.P. series?

2850

Q. 5. The common difference of an A.P.: 0.6, 1.7, 2.8, 3.9 _ is:

2846

Q. 6. The common difference of A.P.: $-5,-1,3,7, \ldots .$. is:

2848

Q. 7. The common difference of the A.P., $\frac{1}{3}, \frac{5}{3}, \frac{9}{3} \ldots \ldots$. is:

2851

Q. 8. In an A.P.: $-10,-6,-2,2, \ldots \ldots . ., 20^{\text {th }}$ term is:

2856

Q. 9. The $11^{\text {th }}$ term of the A.P. $13,15 \frac{1}{2}, 18,20 \frac{1}{2}, \ldots .$. is:

2844

Q. 10. In an A.P.: $2,7,12, \ldots, 20^{\text {th }}$ term is:


Real Numebrs Chapter 5 AP

1. Arithmetic Progression:
An arithmetic progression (AP) is a list of numbers in which each term is obtained by adding a fixed number $d$ to the preceding term, except the first term. The fixed number $d$ is called the common difference.


2.General Form of an AP:
The general form of an AP is $a, a+d, a+2 d, a+3 d, \ldots$


3.. A given list of numbers $a_{1}, a_{2}, a_{3}, \ldots$ is an AP if the differences $a_{2}-a_{1}, a_{3}-a_{2}$, $a_{4}-a_{3}, \ldots$, give the same value, i.e., if $a_{k+1}-a_{k}$ is the same for different values of $k$.


4. General Term of an AP
In an AP with first term $a$ and common difference $d$, the $n$th term (or the general term) is given by $a_{n}=a+(n-1) d$.


5. The sum of the first $n$ terms of an AP :
$$ \mathrm{S}=\frac{n}{2}[2 a+(n-1) d]
$$
6. If $l$ is the last term of the finite AP, say the $n$th term, then the sum of all terms of the AP is given by :
$$ \mathrm{S}=\frac{n}{2}(a+l)
$$