General term of an A.P., whose first term is 'a' and common difference is 'd' is given by a_n = ..........

1

(a)

a + (n - 1)d

A sequence a₁, a₂, a₃,....... is an A.P. if and only if a_n is a .......... expression in n.

1

(a)

linear

Which of the term of A.P.5, 2, -1, ..... is - 49 ?

1

(a)

Here, a = 5, d = - 3
\(\because\)  l = a + (n -1)d
\(\because\)- 49 = 5 + (n -1)(- 3)
\(\Rightarrow\)-49 = 5-3n + 3
\(\Rightarrow\) 3n = 49 + 5 + 3
\(\Rightarrow\)n = 57/3 = 19^th term.

The sum of first 4 terms and sum of first 13 terms of the A.P. 24, 21, 18, .......... is 78.

1

(a) True

(b) False

The sequence 6, 6, 6, .......... is not an A.P.

1

(a) True

(b) False

The number of terms of an A.P. 4, 9, 14, 19,............ 127 is 25.

1

(a) True

(b) False

Find the 10th term of 10.0, 10.5, 11.0, 11.5,...

1

(a)

a = 10,
d = 10.5 - 10 = 0.5
a₁₀ = a + 9d = 10 + 9 x 0.5 = 14.5

Write the sequence with nth term: 3 + 4n

1

(a)

a_n=3+4n
a₁=3+4x1=7
a₂=3+4x2=11
a₃=3+4x3=15
Sequence is, 7,11,15

Write first four terms of the AP, when the first term a and the common difference d are given as follows: a = -2, d = 0

2

(a)

Which of the following are AP's ? If they form an AP, then find the common difference d and write three more terms.. 2, \(\frac{5}{2}\) , 3, \(\frac{7}{2}\).......

2

(a)

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
\(\sqrt{2}\), \(\sqrt{8}\), \(\sqrt{18}\), \(\sqrt{32}\)  .......

2

(a)

The 2nd, 31st and the last term of an AP are 7\(\frac{3}{4}\), \(\frac{1}{2}\) and -6\(\frac{1}{2}\), respectively. Find the first term and number of terms. 

3

(a)

In the following A.P., find the missing term: 9, ...., ...., ....., 25

3

(a)

Two A.P.s have the same common difference. The difference between their 100th terms is 111222333. What is the difference between their millionth terms?

3

(a)

Find the sum of the integers between 100 and 200 that is divisible by 9.

4

(a)