9000072709
Level:
B
We are given seven consecutive terms of an arithmetic sequence. Find
\(x\).
\[
x,\ 1,\ a,\ b,\ c,\ d,\ \frac12
\]
\(x = 1.1\)
\(x = 1.5\)
\(x = -0.5\)
\(x = 2\)
Arithmetic Sequences
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
\(x\).
\[
x\, ,\ 10\, ,\ 5
\]
\(x = 15\)
\(x = 20\)
\(x = 50\)
\(x = 5\)
9000072705
Level:
B
We are given four consecutive terms of an arithmetic sequence. Find
\(x\).
\[
3\, ,\ a\, ,\ 0\, ,\ x
\]
\(x = -1.5\)
\(x = -3\)
\(x = 6\)
\(x = -6\)
9000072708
Level:
B
We are given six consecutive terms of an arithmetic sequence. Find
\(x\).
\[
\frac52,\ a,\ x,\ b,\ c,\ 5
\]
\(x = 3.5\)
\(x = 3\)
\(x = 4\)
\(x = 3.75\)
9000072702
Level:
B
The following numbers form an arithmetic sequence. Find
\(x\).
\[
10\, ,\ 20\, ,\ x
\]
\(x = 30\)
\(x = 40\)
\(x = -20\)
\(x = -10\)
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
\(a_{13}\).
\(a_{13} = 25\pi \)
\(a_{13} = 27\pi \)
\(a_{13} = 26\pi \)
\(a_{13} = 24\pi \)
9000065309
Level:
A
The arithmetic sequence satisfies \(a_{26} = 58\)
and \(a_{21} = 43\). Find the
first term \(a_{1}\) and
the common difference \(d\)
of this sequence.
\(a_{1} = -17;\ d = 3\)
\(a_{1} = -1;\ d = 5\)
\(a_{1} = 1;\ d = 15\)
\(a_{1} = -1;\ d = 3\)
9000065310
Level:
B
For the arithmetic sequence with \(a_{4} = 11\)
and \(a_{9} = -24\)
find the sum of the first fourteen terms.
\(- 189\)
\(189\)
\(198\)
\(- 198\)