Sequences and Series Test

Result

Sequences and Series Test - 2

Score
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Rank
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Question 1
1 / -0

The next term of the sequence, 2, 6, 12, 20, …..is

A
30

B
28

C
24

D
40

Solution

nth term of given sequence is n(n+1)

so the 5th term is 5(5+1)=30
Question 2
1 / -0

All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is a

A
A.P.

B
H.P.

C
G.P.

D
none of these

Solution

the series obtained will not follow rules of AP, GP and HP
Question 3
1 / -0

The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ….. is

A
72

B
89

C
66

D
55

Solution

here,

a₁ = 1 = a₂

a_n=a_n−1 + a_n−2

a₁₀ = a₉ + a₈

a₁₀= 34 + 21 = 55

a₁₁ = a₁₀ + a₉ = 34 + 55 = 89