9000065304
Level:
A
Find the first term \(a_{1}\) and
the common difference \(d\) of the
arithmetic sequence \((5 + 2n)_{n=1}^{\infty }\).
\(a_{1} = 7;\ d = 2\)
\(a_{1} = 5;\ d = 2\)
\(a_{1} = 3;\ d = -2\)
\(a_{1} = 2;\ d = 5\)
Arithmetic sequences
9000065307
Level:
B
In the arithmetic sequence given by the first term
\(a_{1} = 4\) and the common
difference \(d = 2\)
find the sum of the first twelve terms of the sequence.
\(s_{12} = 180\)
\(s_{12} = 72\)
\(s_{12} = 120\)
\(s_{12} = 168\)
9000065308
Level:
B
For the arithmetic sequence with the first term $a_1=3$ holds $a_n=27$ and the sum of the first $n$ terms is $195$. Find $n$.
\(n = 13\)
\(n = 14\)
\(n = 15\)
\(n = 16\)
9000064802
Level:
C
The arithmetic sequence is given by the third term
\(a_{3} = 5\) and the common
difference \(d = 2\).
How many terms of the sequence has to be summed up to ensure that the sum is bigger
than \(300\)?
\(18\)
\(10\)
\(12\)
\(14\)
\(16\)
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.
\(- 189\)
\(189\)
\(198\)
\(- 198\)
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 \(a_{13}\).
\(31\)
\(22\)
\(25\)
\(28\)
\(34\)
9000064806
Level:
B
The arithmetic sequence is defined by the first term
\(a_{1} = 17\) and the
fifth term \(a_{5} = 11\).
Find the term which is seven times smaller than the third term of the sequence.
\(a_{11}\)
\(a_{2}\)
\(a_{8}\)
\(a_{17}\)
\(a_{21}\)