9000070503
Level:
C
Three numbers form a geometric sequence. The sum of these numbers is
\(39\) and the
product is \(1\: 000\).
Find the smallest of these numbers.
\(4\)
\(2\)
\(2.5\)
\(10\)
\(25\)
Geometric sequences
9000070504
Level:
C
The geometric sequence is formed by consecutive powers of the number
\(3\). The eighth
term is \(a_{8} = 3^{10}\).
Find the sum of the first five terms.
\(3\: 267\)
\(1\: 089\)
\(2\: 178\)
\(4\: 356\)
\(6\: 543\)
9000070505
Level:
C
The dimensions of the box form a geometric sequence. The volume of the box is
\(27\, \mathrm{cm}^{3}\) and the length of
the shortest side is \(2\, \mathrm{cm}\).
Find the surface area of the box.
\(57\, \mathrm{cm}^{2}\)
\(28.5\, \mathrm{cm}^{2}\)
\(27\, \mathrm{cm}^{2}\)
\(35\, \mathrm{cm}^{2}\)
\(45\, \mathrm{cm}^{2}\)
9000070506
Level:
C
The intensity of the light is reduced by
\(8\, \%\) when the
light shines through the glass panel. How much of the light intensity remains if the light shines
through \(6\)
glass panels?
\(60.6\, \%\)
\(39.4\, \%\)
\(52\, \%\)
\(48\, \%\)
\(3.14\, \%\)
9000070507
Level:
C
A car depreciates (loses value) at the rate of \(15\, \%\)
per year. After how many full years will the value of the car decrease to less than one quarter of its initial value?
\(9\)
\(6\)
\(7\)
\(8\)
\(10\)
9000070508
Level:
C
The sum of the first three terms of a geometric sequence is
\(27\). The sum of the
next three terms is \(512\).
Find the quotient.
\(\frac{8}
{3}\)
\(2\)
\(3\)
\(\frac{3}
{2}\)
\(\frac{4}
{3}\)