2010000208
Level:
B
The picture shows a part of the graph of the arithmetic sequence. Find the sum of the first twenty-four terms of the sequence.
\( 192\)
\( 560\)
\( 576\)
\( 200\)
Arithmetic sequences
2010000501
Level:
B
Find the sum of the first $15$ negative terms of the arithmetic sequence: $\left(7-2n\right)_{n=1}^{\infty}$.
\( -225\)
\( -135\)
\( -240\)
\( -180\)
\( -450\)
2010000502
Level:
B
Suppose three numbers form three consecutive terms of an arithmetic sequence. The sum of these numbers is \(36\) and the product is \(-972\). Find the biggest of these three numbers.
\( 27\)
\( 12\)
\( 17\)
\( -3\)
\( 15\)
2010001003
Level:
B
The arithmetic sequence is defined by the first term
\(a_{1} = 15\) and the
fourth term \(a_{4} = 13\).
Find the term which is three times smaller than the tenth term of the sequence.
\( a_{19}\)
\( a_{9}\)
\( a_{7}\)
\( a_{14}\)
\( a_{12}\)
2010006801
Level:
B
We are given an arithmetic sequence \( (a_n)^{\infty}_{n=1}\), where \(a_2=429\), \(a_5=420\). Find \(n\), so that \(a_n=0\).
\(145\)
\(141\)
\(144\)
\(142\)
2010006802
Level:
B
We are given an arithmetic sequence \( (a_n)^{\infty}_{n=1}\), where \(a_3=328\), \(a_5=320\). Find \( n\), so that \(a_n=0\).
\(85\)
\(79\)
\(83\)
\(81\)
2010010505
Level:
B
How many \(3\)-digit positive numbers are divisible by \(4\)?
\( 225\)
\( 223\)
\( 224\)
\( 996\)
2010010506
Level:
B
How many \(3\)-digit positive numbers are divisible by \(3\)?
\( 300\)
\( 298\)
\( 299\)
\( 999\)
2010010507
Level:
B
The first three terms of an arithmetic sequence are represented by numbers \(x+4\), \(3x-4\), and \(4x-5\) respectively. Find the common difference of this sequence.
\( 6\)
\( 7\)
\( 11\)
\( 4\)
2010010508
Level:
B
The first three terms of an arithmetic sequence are represented by numbers \(x+8\), \(4x+5\), and \(6x+6\) respectively. Find the common difference of this sequence.
\( 9\)
\( 4\)
\( 12\)
\( 8\)