nth Term of an AP

Q. Find the ${31}^{st}$ term of an A.P. whose ${11}^{th}$ term is 38 and the ${16}^{th}$ term is 73.
[2 marks]
[NCERT]
[nth Term of an AP]

Q. Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63?
___

Q. The first term of an AP is 12 and the common difference is -2. Which term of the AP will be 0?

1. ${10}^{\text{th}}$
2. ${12}^{\text{th}}$
3. $6^{\text{th}}$
4. $7^{\text{th}}$

Q. Which of the following is a term of an AP whose first term is 2 and the common difference is 4?

1. 23
2. 46
3. 92
4. 69

Q. The expression for $n^{th}$ term of an AP is

1. dn + (a - d)
2. dn + (a + d)
3. d (n + 1) + a
4. d (n - 1) - a

Q. For any AP, the expression for the $n^{th}$ term is always a ___ expression in $n$.

Q. An AP has the first term as 2 and the common difference as 4. Which term in the AP is the first multiple of 23 to appear in the AP?

1. ${11}^{th}term$
2. ${12}^{th}term$
3. ${14}^{th}term$
4. ${35}^{th}term$

Q.

Find the missing terms in the AP______, 3, _______, -5.

1. 7, 1

2. -7, 1

3. 7, -1

4. -7, -1

Q. A person boarded a taxi that charges Rs 15 for the first km and Rs 8 for each additional km. He needs to pay Rs___ if he has to travel 16 km.

Q. In an AP, where the first term is 7 and the common difference is 4, ___term of the AP will be five times the first term. (Enter number only)