# nth Term of an AP

## Trending Questions

**Q.**In an arithmetic progression, the 6th term is 8 more than the third term and 5th term is –2. The 10th term of the progression is equal to

- 10
- 343
- 0
- 12

**Q.**

How many three digit natural numbers are divisible by 7 ?

**Q.**

Which term of the AP = 21, 18, 15, ... is -81?

**Q.**

The 31st term of an AP whose 11th term is 38 and 16th term is 73 is....

150

178

**Q.**

For what value of $n$, are the ${n}^{th}$ terms of two APs $63,65,67$, and $3,10,17,\dots $ equal?

**Q.**

The sum of three non zero prime no.s is 100 . One of them exceedsthe other by 36. Find the largest number.

**Q.**

An AP consists of 50 terms of which the third term is 12 and the last term is 106. Find the 29th term.

**Q.**

Find how many integers between 200 and 500 are divisible by 8.

**Q.**

Find three numbers are A. P. whose sum is 24 and whose product is 440.

**Q.**Which term of the A.P. 3, 15, 27, 39, ... will be 120 more than its 21

^{st}term?

**Q.**

Which term of AP $53,48,43...$ is the first negative term?

**Q.**

How many three digit natural numbers are divisible by 9?

**Q.**

Find the 8th term from the end of the AP = 7 , 10, 13, ..., 184.

**Q.**

How many number lie between 10 and 300, which when divided by 4 leave a remainder 3?

**Q.**

The 17th term of an AP exceeds its 10th term by 7. Find the common difference.

**Q.**

If the 10th term of an AP is 52 and 17th term is 20 more than its 13th term, find the AP.

**Q.**

Which term of the AP 8, 14, 20, 26, .. will be 72 more than its 41st term?

**Q.**Find the 9

^{th}term from the end of the A.P. 5, 9, 13, ..., 185.

**Q.**

Which term of A. P. 5, 15, 25, ............ will be 130 more than its 31st term ?

**Q.**

The ratio of the sum of n terms of two A.Ps is $(7\mathrm{n}+1):(4\mathrm{n}+27)$ . Find the ratio of $mth$ terms.

**Q.**

If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.

**Q.**If the m

^{th}term of an AP in 1/n and the n

^{th}term of it is 1/m.

Show that: (mn)

^{th}th term of this AP is 1.

**Q.**

Which term of the A.P. $3,15,27,39,...$ will be $132$ more than its ${54}^{\mathrm{th}}$ term?

**Q.**

Which term of an AP $21,18,15,...$. is zero?

**Q.**

How many terms are there in the AP=18, 1512, 13, ..., −47?

**Q.**

The number of terms of the AP (Arithmetic Progression) $3,7,11,15,...$ to be taken so that the sum is $406$ is

$5$

$10$

$12$

$14$

**Q.**Question 11

Two APs have the same common difference. The first term of one of these is – 1 and that of the other is – 8. The difference between their 4th terms is

A) -1

B) -8

C) 7

D) -9

**Q.**

Find the sum of all natural numbers between 200 and 400 which are divisible by 7.

**Q.**

If the nth term of an AP is given by the expression 2n+1, then its common difference is:

- 1
- 3
- 2
- 4

**Q.**

If the pth term of an AP is q and its qth term is p then show that its (p+q)th term is zero.