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 $n$.
\(n = 13\)
\(n = 14\)
\(n = 15\)
\(n = 16\)
Arithmetic Sequences
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
\(a_{13}\).
\(a_{13} = 25\pi \)
\(a_{13} = 27\pi \)
\(a_{13} = 26\pi \)
\(a_{13} = 24\pi \)
9000060610
Level:
B
Identify the real number \(x\) which
ensures that the numbers \(a_{1} =\log x\),
\(a_{2} = 2\) and
\(a_{3} =\log x^{3}\) are
three consecutive terms of an arithmetic sequence.
\(x = 10\)
\(x = 0\)
\(x = 0.1\)
\(x = 1\)
\(x = -1\)
9000060602
Level:
B
Identify the real number \(x\) which
ensures that the numbers \(a_{1} = -12\),
\(a_{2} = x\) and
\(a_{3} = 24\) are
three consecutive terms of an arithmetic sequence.
\(x = 6\)
\(x = 0\)
\(x = 12\)
\(x = -24\)
\(x = -2\)
9000060604
Level:
B
Identify the real number \(x\) which
ensures that the numbers \(a_{1} = x\),
\(a_{2} = x + 2\) and
\(a_{3} = 2x\) are
three consecutive terms of an arithmetic sequence.
\(x = 4\)
\(x = 0\)
\(x = 2\)
\(x = 6\)
\(x = 8\)
9000060608
Level:
B
Identify the real number \(x\) which
ensures that the numbers \(a_{1} =\log x\),
\(a_{2} =\log(2x)\) and
\(a_{3} = 1\) are
three consecutive terms of an arithmetic sequence.
\(x = 2.5\)
\(x = 1\)
\(x =\log 2\)
\(x = 2\)
\(x = 1\)
9000060601
Level:
B
Identify the real number \(x\) which
ensures that the numbers \(a_{1} = 10^{2}\),
\(a_{2} = 10^{3}\) and
\(a_{3} = x\) are
three consecutive terms of an arithmetic sequence.
\(x = 1\: 900\)
\(x = 1\: 000\)
\(x = 10\: 000\)
\(x = 1\: 990\)
\(x = 100\: 000\)
9000060605
Level:
B
Identify the real number \(x\) which
ensures that the numbers \(a_{1} = x^{2} + 10\),
\(a_{2} = x^{2} + 2x\) and
\(a_{3} = x^{2}\) are
three consecutive terms of an arithmetic sequence.
\(x = 2.5\)
\(x = 0\)
\(x = 2\)
\(x = 5\)
\(x = -5\)