Nth Term of An Arithmetic Progression for class 10

 

To find the nth term of an arithmetic progression (AP), you can use the formula:

an = a + (n - 1) d

Where:

-an is the nth term of the AP.

- a is the first term of the AP.

- n is the position of the term you want to find.

- d is the common difference between consecutive terms in the AP.

Here is video Explanation.....

Now, here are 5 multiple-choice questions (MCQs) related to finding the nth term of an arithmetic progression:

**Question 1:** In an arithmetic progression, the first term \(a_1\) is 4, and the common difference \(d\) is 3. What is the 7th term of this progression?

- A) 21

- B) 19

- C) 25

- D) 22

- **Answer:** B) 19

**Question 2:** The first term of an arithmetic progression is -8, and the common difference is 2. What is the 10th term of this progression?

- A) 20

- B) 22

- C) 14

- D) -6

- **Answer:** C) 14

**Question 3:** In an arithmetic progression, the first term \(a_1\) is 10, and the common difference \(d\) is -2. What is the 5th term of this progression?

- A) 6

- B) 4

- C) 2

- D) 8

- **Answer:** B) 4

**Question 4:** If the first term of an arithmetic progression is 12, and the nth term is 52, with a common difference of 4, what is the value of \(n\)?

- A) 11

- B) 10

- C) 13

- D) 12

- **Answer:** D) 12

**Question 5:** An arithmetic progression has a first term of 3 and a common difference of -5. What is the 3rd term of this progression?

- A) 3

- B) -2

- C) 8

- D) -7

- **Answer:** D) -7

These questions test your understanding of how to find the nth term of an arithmetic progression using the formula provided earlier.