11th Class Mathematics Chapter 6 Sequences and Series Preparation Online Test

If a_n = (n + 1) a_n-1, a₁ = 1, second term of the sequence is:

• 3 A
• 1 B
• 2 C
• 4 D

Sequences are also called:

• Series A
• Progressions B
• Means C
• Convergence D

The next term of the sequence-1, 2, 12, 40, .........is:

• 112 A
• 212 B
• 144 C
• none D

• A.P A
• G.P B
• H.P C
• none D

7th term of G.P 3, 6, 12 ..... is:

• 512 A
• 192 B
• 48 C
• 96 D

What is called the arrangement of numbers formed according to some definite rule ?

• arithmetic sequence A
• geometricsequence B
• sequence C
• none of these D

A function whose domain is the set of natural numbers is called the:

• series A
• sequence B
• means C
• convergent D

What is the next term in the sequence 10, 7, 4, 1...........?

• 2 A
• -2 B
• -3 C
• none of these D

The next term of the sequence 1, 6, 20, 56, ........ is:

• 112 A
• 144 B
• 212 C
• none D

Which number cannot be a term of a geometric sequence ?

• 0 A
• 1 B
• -1 C
• r D

The series 3 + 33 + 333 + ...... is:

• A.P A
• G.P B
• H.P C
• none of these D

Zero cannot be a term of:

• A.P and G.P A
• G.P and H.P B
• A.P and H.P C
• only H.P D

A sequence of numbers whose reciprocal form an arithmetic sequence, is known as:

• arithmetic sequence A
• geometricsequence B
• harmonicsequence C
• none of these D

In an A.P.a₃ = 12 and a₇ = 32 then d = :

• 5 A
• 3 B
• 7 C
• 9 D

If a_n-1 = 2n - 3 then a_n+1 =

• 2n - 1 A
• 2n + 1 B
• 2n + 3 C
• none D

A clock strikes once when its hour hand is at one, twice when it is at two, and so on. How many times does the clock strike in ten hours ?

• 55 A
• 78 B
• 66 C
• 46 D

What is the general term of the geometric sequence -1, 1, -1, 1 ....... ?

• (-1)ⁿ A
• (1)ⁿ B
• (-1)^n-1 C
• none of these D

Arithmetic series is only possible if:

• |d| = 1 A
• |d| < 1 B
• |d| > 1 C
• none D

A.M between x - 3 & x + 5 is __________:

• x + 1 A
• x - 1 B
• 2x + 2 C
• none D

The product of three G.Ms between 1 and 16 is:

• 32 A
• 64 B
• 128 C
• 16 D