2000005810
Level:
A
A sequence has \(n\)th term \(3n^2-4n+1\). In the sequence, there are two consecutive terms that sum to \(581\). Find the bigger one of these two terms?
\(320\)
\(11\)
\(261\)
\(10\)
Introduction to sequences
2000005809
Level:
A
Which of the following sequences does not contain a term equal to \(256\)?
\(a_n=(-1)^n(n+1)^2\)
\(a_n=\frac{(-2)^n}{n+4}\)
\(a_n = \frac{n^2-516}{n}\)
\( a_n=(-1)^n2^n\)
2100005808
Level:
A
In one of the pictures given below is not a graph of a sequence. Choose this graph.
2000005807
Level:
A
We are given a sequence with the same difference between consecutive terms. We know it starts at \(-7\) and its \(4\)th term is \(11\). Find its \(12\)th term.
\(59\)
\(53\)
\(65\)
\(71\)
2000005806
Level:
A
In the sequence \( \{-45,-36,-27,-18,\dots\}\) each term can be obtained from previous term by adding \(9\). Which of the following numbers is not a term in the sequence?
\(285\)
\(135\)
\(927\)
\(252\)
2000005805
Level:
A
In the sequence \( \{16,20,24,28,\dots\}\) each term can be obtained from previous term by adding \(4\). Which of the following numbers is not a term in the sequence?
\(322\)
\(200\)
\(40\)
\(764\)
2010005804
Level:
B
We are given a sequence \( \left(\sin \left(n\frac{\pi}{2}\right)\right)^{\infty}_{n=1}\). A part of the sequence is displayed in the graph. Complete the sentence: This sequence is ...
neither increasing nor decreasing.
increasing.
decreasing.
not bounded.
2010005803
Level:
B
We are given a sequence \( (2+(-1)^n)^{\infty}_{n=1}\). A part of the sequence is displayed in the graph. Complete the sentence: This sequence is ...
neither increasing nor decreasing.
increasing.
decreasing.
not bounded.
2010005802
Level:
B
The value of the \(n\)th term of a sequence is given by the expression \(b^{2n}-28\). If the third term of the sequence is \(701\), which of the following is the value of \(b\)?
\(-3\) or \(3\)
\(3\)
\(2\)
\(-3\)
2010005801
Level:
B
The value of the \(n\)th term of a sequence is given by the expression \(a^{4n}-13\). If the second term of the sequence is \(243\), which of the following is the value of \(a\)?
\(-2\) or \(2\)
\(2\)
\(4\)
\(-2\)