RBSETC ENGG. MATHEMATICS-II QUIZ-1
Engg Mathematics II Quiz - Understanding Sequences
Welcome to the Engg Mathematics II Quiz! This quiz is designed to test your understanding of sequences in mathematics, a fundamental concept in engineering and beyond.
Participate to enhance your knowledge and gauge your skills with questions covering:
- Convergence and Divergence of Sequences
- Monotonic Sequences
- Bounded Sequences
- Oscillating Sequences
Tick your associated branch
EC
ME
EE
CE
CS
FT
BT
Sequence 1, 1/2, 1/3, ......, 1/n, ..... is:
Convergent
Divergent
Both
None of the Above
Sequence 1/2, 2/3, 3/4, ......., n/(n+1), ..... is:
Convegent
Divergent
Both
None of the Above
A monotonic increasing sequence which is Bounded Above :
Diverges
Converges
Bounded Above
Bounded Be;ow
The Sequence {a_n} where a_n=(n+1)/n
Bounded Above by 0
Bounded Below by 0
Bounded Above by 1
Bounded Below by 1
The Sequence {a_n} where a_n=n/(n^2 + 1)
Bounded Above by 0
Bounded Below by 0
Bounded Above by 1
Bounded Below by 1
The Sequence {a_n} where a_n=1+ 1/3+1/3^2 +⋯+1/3^n
Bounded Above by 2/3
Bounded Below by 2/3
Bounded Above by 3/2
Bounded Below by 3/2
The sequence {|a_n |} converges to zero if and only if
A_n converges to zero
|a_n | converges to zero
{a_n} converges to zero
N converges to zero
The sequence -1, -2, -3, ....., -n, .... is:
Monotonic increasing and diverges
Monotonic increasing and converges
Monotonic decreasing and diverges
Monotonic increasing and converges
Sequence {a_n} where a_n={〖(-1)〗^n n} is:
Diverge and Oscillates Infinitely
Diverge and Oscillates Finitely
Does not Diverge and Oscillates Infinitely
Does not Diverge and Oscillates Finitely
Sequence {a_n} where a_n=2^(n-1) is:
Bounded Above
Unbounded Above
Bounded Below
Bounded Above
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