nth Term of an AP

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

1. 10
2. $\frac{34}{3}$
3. 0
4. 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 ${31}^{st}$ term of an AP whose ${11}^{th}$ term is 38 and ${16}^{th}$ term is 73 is....

1. 150

2. 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 ${29}^{th}$ 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 ${17}^{th}$ term of an AP exceeds its ${10}^{th}$ 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 ${31}^{st}$ 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)^thth 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 $AP=18,15\frac{1}{2},13,...,-47?$

Q.

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

1. $5$

2. $10$

3. $12$

4. $14$

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 $4^{th}$ 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 $n^{th}$ term of an AP is given by the expression $2n+1$, then its common difference is:

1. $1$
2. $3$
3. $2$
4. $4$

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.