9000072804
Level:
B
The following numbers form a geometric sequence. Find
\(x\).
\[
x\, ,\ a\, ,\ 3\, ,\ b\, ,\ 9
\]
\(1\)
\(- 1\)
\(- 3\)
\(\sqrt{3}\)
Geometric sequences
9000072805
Level:
B
The following numbers form a geometric sequence. The third term satisfies
\(a < 0\). Find
\(x\).
\[
x\, ,\ 5\, ,\ a\, ,\ 25
\]
\(-\sqrt{5}\)
\(\sqrt{5}\)
\(- 5\)
\(1\)
9000072806
Level:
B
The following numbers form a geometric sequence. Find
\(x\).
\[
2\, ,\ 1\, ,\ a\, ,\ x
\]
\(\frac{1}
{4}\)
\(\frac{1}
{2}\)
\(-\frac{1}
{2}\)
\(- 1\)
9000072807
Level:
B
The following numbers form a geometric sequence. The third term satisfies
\(a < 0\). Find
\(x\).
\[
x\, ,\ 1\, ,\ a\, ,\ \frac{1}
{9}
\]
\(- 3\)
\(9\)
\(3\)
\(-\frac{1}
{3}\)
9000072808
Level:
B
The following numbers form a geometric sequence. Find
\(x\).
\[
-2\, ,\ 4\, ,\ x
\]
\(- 8\)
\(8\)
\(6\)
\(16\)
9000072809
Level:
B
The following numbers form a geometric sequence. Find
\(x\).
\[
1\, ,\ a\, ,\ x\, ,\ -1
\]
\(1\)
\(-\frac{1}
{3}\)
\(0\)
\(-\frac{2}
{3}\)
9000072810
Level:
B
The following numbers form a geometric sequence. Find
\(x\).
\[
x\, ,\ 2\cdot 3\, ,\ 3\cdot 4
\]
\(1\cdot 3\)
\(1\cdot 1\)
\(1\cdot 2\)
\(1\cdot 4\)
9000073001
Level:
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\).
Let \(q\) be the quotient
and \(s_{n}\) be the sum
of the first \(n\)
terms. Given \(a_{1} = 2\)
and \(q = 2\),
find the sum of the first five terms of the sequence.
\(s_{5} = 62\)
\(s_{5} = 18\)
\(s_{5} = 32\)
\(s_{5} = -59\)
9000073002
Level:
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\).
Let \(q\) be the quotient
and \(s_{n}\) be the sum
of the first \(n\)
terms. Given \(a_{6} = 5\)
and \(q = 1\),
find the sum of the first five terms of the sequence.
\(s_{5} = 25\)
\(s_{5} = 31\)
\(s_{5} = 6\)
\(s_{5} = 30\)
9000073003
Level:
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\).
Let \(q\) be the quotient
and \(s_{n}\) be the sum
of the first \(n\)
terms. Given \(a_{1} = 1\),
\(a_{3} = 4\) and
\(a_{2} > 0\), find
the sum of the first four terms of the sequence.
\(s_{4} = 15\)
\(s_{4} = -5\)
\(s_{4} = 14\)
\(s_{4} = 8\)