General Form of an AP

Q. Find the next term in the following sequence: a-2d, a-d, a, a+d, ...
(A) a + 2d
(B) a - 2d
(C) 4a + 2d
(D) 2a + 2d
$\left[1\right]$

Q.

Find the first term of an arithmetic progression, if its $7^{th}$ term is 4 and common difference is -4.

1. 7

2. 20

3. 28

4. 27

Q.

Consider the following AP sequence: 134, 104, 74, … The $6^{th}$term is

1. the first negative term

2. the second negative term

3. zero

4. the last positive term

Q.

Find the next term in the following sequence: a-2d, a-d, a, a+d, ...

1. 27.00

2. 36.00

3. 35.00

4. 6.33

Q. The sum of the first 20 terms of an AP is 1280, the common difference is 20. Then the fourth term of the AP is .

1. -64
2. -66
3. -62
4. -60

Q. The 4th term of an AP is 9 and the 9th term of the AP is 34. The sum of the first 10 terms of the AP is .

1. 156
2. 165
3. 561
4. 167

Q. $a_5$ and $a_{13}$ of an arithmetic progression are 16 and 28. Then first term and common difference of the A.P are ____.

1. 5 and $\frac{3}{2}$
2. 10 and $\frac{3}{2}$
3. 10 and $\frac{2}{3}$
4. 5 and $\frac{2}{3}$

Q. Statement 1: The $n^{th}$ term of an AP can not be $n^2+1$.
Statement 2: 0 is a term of the AP 31, 28, 25….

1. Both statement 1 and
   statement 2 are true.
2. Statement 1 is true, while statement 2 is false.
3. Statement 1 is false, while statement 2 is true.
4. Both statement 1 and statement 2 are false.

Q. In an arithmetic series, d = -4, n = 7 and a(n) is equal to 4, then what is the value of the term a(1)?

1. 7
2. 20
3. 28
4. 27

Q.

Identify the common difference of the given AP: a, a+d, a+2d, a+3d, ...

1. 0

2. -d

3. d

4. 2d