9000072706
Level:
B
We are given five consecutive terms of an arithmetic sequence. Find
\(x\).
\[
5\, ,\ a\, ,\ b\, ,\ x\, ,\ 6
\]
\(x = 5.75\)
\(x = 5.5\)
\(x = 5.8\)
\(x = 5\frac{2}
{3}\)
Arithmetic Sequences
9000072701
Level:
B
The following numbers form an arithmetic sequence. Find
\(x\).
\[
1\, ,\ x\, ,\ 3
\]
\(x = 2\)
\(x = -2\)
\(x = 2.5\)
\(x = 1.5\)
9000072707
Level:
B
We are given seven consecutive terms of an arithmetic sequence. Find
\(x\).
\[
100\, ,\ a\, ,\ b\, ,\ x\, ,\ c\, ,\ d\, ,\ 0
\]
\(x = 50\)
\(x = 60\)
\(x = 40\)
\(x = 51\)
9000072709
Level:
B
We are given seven consecutive terms of an arithmetic sequence. Find
\(x\).
\[
x,\ 1,\ a,\ b,\ c,\ d,\ \frac12
\]
\(x = 1.1\)
\(x = 1.5\)
\(x = -0.5\)
\(x = 2\)
9000072710
Level:
B
We are given seven consecutive terms of an arithmetic sequence. Find
\(x\).
\[
\frac{4}
{5}\, ,\ a\, ,\ b\, ,\ 0\, ,\ c\, ,\ d\, ,\ x
\]
\(x = -\frac{4}
{5}\)
\(x = \frac{5}
{4}\)
\(x = -\frac{5}
{4}\)
\(x = -\frac{8}
{5}\)
9000072703
Level:
B
The following numbers form an arithmetic sequence. Find
\(x\).
\[
x\, ,\ 10\, ,\ 5
\]
\(x = 15\)
\(x = 20\)
\(x = 50\)
\(x = 5\)
9000065306
Level:
A
In the arithmetic sequence given by the second term
\(a_{2} = -3\) and the
fifth term \(a_{5} = 3\)
find \(a_{11}\).
\(a_{11} = 15\)
\(a_{11} = 22\)
\(a_{11} = 19\)
\(a_{11} = 27\)
9000065305
Level:
A
In the arithmetic sequence given by the relations
\(a_{1} =\pi \),
\(a_{n+1} = a_{n} + 2\pi \) find
\(a_{13}\).
\(a_{13} = 25\pi \)
\(a_{13} = 27\pi \)
\(a_{13} = 26\pi \)
\(a_{13} = 24\pi \)
9000065310
Level:
B
For the arithmetic sequence with \(a_{4} = 11\)
and \(a_{9} = -24\)
find the sum of the first fourteen terms.
\(- 189\)
\(189\)
\(198\)
\(- 198\)
9000064808
Level:
C
The sum of the first eight terms of an arithmetic sequence is
\(44\).
The sum of the next four terms is bigger than this value by
\(50\). Find the
thirteenth term \(a_{13}\).
\(31\)
\(22\)
\(25\)
\(28\)
\(34\)