1003107409
Level:
B
We were given a sequence \( \left( 3+\frac1{2n}\right)_{n=1}^{\infty} \).
This sequence is:
bounded
increasing
constant
non-decreasing
Introduction to sequences
1003107408
Level:
B
A sequence \( \left(a_n\right)_{n=1}^{\infty} \) is defined recursively by: \( a_1=5;\ a_{n+1}=2a_n-1\text{, } n\in\mathbb{N} \).
This sequence is:
lower bounded
upper bounded
bounded
decreasing
1003107407
Level:
B
We were given a sequence \( \left( \log n \right)_{n=1}^{\infty} \). This sequence is:
lower bounded
upper bounded
bounded
decreasing
1003107406
Level:
B
We were given a sequence \( \left( (-1)^n\cdot n\right)_{n=1}^{\infty} \).
Complete the sentence: This sequence is ...
neither increasing nor decreasing.
increasing.
decreasing.
lower bounded.
1003107405
Level:
B
We were given a sequence \( \left( \log2^n\right)_{n=1}^{\infty} \).
This sequence is:
increasing
decreasing
non-increasing
bounded
1003107404
Level:
B
We were given a sequence \( \left(2\cdot x^n\right)_{n=1}^{\infty} \).
For what values of the parameter \( x \), \( x\in\mathbb{R} \), is the sequence increasing?
\( x\in(1;\infty) \)
\( x\in[1;\infty) \)
\( x\in(-\infty;1) \)
\( x\in(-\infty;1]\)
1003107403
Level:
B
We were given a sequence \( \left(\frac{n\cdot x}{n+1}\right)_{n=1}^{\infty} \).
For what values of the parameter \( x \), \(x\in\mathbb{R}\), is the sequence decreasing?
\( x\in(-\infty; 0) \)
\( x\in(-\infty;0] \)
\( x\in(0;\infty) \)
\( x\in[0;\infty) \)
1003107402
Level:
B
We were given a sequence \( \left(\frac1{n(n+1)}\right)_{n=1}^{\infty} \).
This sequence is:
decreasing
non-decreasing
increasing
constant
1003107401
Level:
B
We were given a sequence \( \left(\frac{2n+1}{n+2}\right)_{n=1}^{\infty} \).
This sequence is:
increasing
decreasing
non-increasing
constant
1003085010
Level:
A
We were given two sequences \( \left( 2^{2n-2} \right)_{n=1}^{\infty} \) and \( \left( n^2 \right)_{n=1}^{\infty} \).
What is the ratio of their fourth terms?
\( 4:1 \)
\( 2:1 \)
\( 3:1 \)
\( 1:1 \)