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2010010504

Level:

First five terms of four sequences are given. One of these sequences is not an arithmetic sequence. Choose this sequence.

2, 0, 2, 0, 2

7, 7, 7, 7, 7

6, 11, 16, 21, 26

- \frac{3}{2}, - \frac{1}{2}, \frac{1}{2}, \frac{3}{2}, \frac{5}{2}

2010010503

Level:

First five terms of four sequences are given. One of these sequences is not an arithmetic sequence. Choose this sequence.

1, - 1, 1, - 1, 1

5, 5, 5, 5, 5

7, 12, 17, 22, 27

- \frac{1}{2}, 0, \frac{1}{2}, 1, \frac{3}{2}

2110010502

Level:

One of the given graphs shows the first six terms of an arithmetic sequence. Choose this graph.

2110010501

Level:

One of the given graphs shows the first six terms of an arithmetic sequence. Choose this graph.

2010010404

Level:

Find the complex conjugate of

z = i^{10} + 3 i^{5}

- 1 - 3 i

- 1 + 3 i

- 3 - i

3 - i

2010010403

Level:

Given complex numbers

a = \sqrt{2} + i, b = 2 - \sqrt{3} i,

find

\frac{a}{b}

\frac{2 \sqrt{2} - \sqrt{3}}{7} + i \frac{\sqrt{6} + 2}{7}

\frac{2 \sqrt{2} - \sqrt{3}}{7} - i \frac{\sqrt{6} + 2}{7}

\frac{2 \sqrt{2} + \sqrt{3}}{4} + i \frac{\sqrt{6} - 2}{4}

\frac{\sqrt{2} - \sqrt{6}}{3} + i \frac{\sqrt{3} + 2}{3}

2010010402

Level:

Given complex numbers

z_{1} = \sqrt{5} - \sqrt{3} i, z_{2} = \sqrt{5} + \sqrt{3} i,

find

z_{1} \cdot z_{2}

8

2

5 - 3 i

5 + 3 i

2010010401

Level:

Given complex numbers

z_{1} = 10 - 7 i

and

z_{2} = 5 - 4 i

, find

z_{1} - z_{2}

5 - 3 i

5 - 11 i

3 - 5 i

3 - i

2000010310

Level:

The

n

th term of a sequence is

{(\frac{1}{2})}^{n}

. Find the difference between the

5

th and the

8

th term of the sequence.

\frac{7}{256}

\frac{3}{128}

- \frac{7}{256}

0

2000010309

Level:

A sequence has

n

th term

50 - \frac{1}{2} n^{2}

. Which term of the sequence is the first to have the value less than

0

a_{11}

a_{10}

a_{6}

a_{5}

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A

2010010504

2010010503

2110010502

2110010501

2010010404

2010010403

2010010402

2010010401

2000010310

2000010309

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