Arithmetic sequences
Arithmetic Sequence
Submitted by vladimir.arzt on Fri, 03/01/2024 - 10:222000010510
Level:
B
For an arithmetic sequence with \(a_1=-2\), \(a_3=6\), and \(s_n=30\), find \(n\).
\( 5\)
\( 3\)
\( 4\)
There does not exist an arithmetic sequence defined in this way.
2000010509
Level:
B
Find the sum of all terms of an arithmetic sequence that are marked in the graph.
\( 48\)
\( 6\)
\( 36\)
\( 18\)
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.
\( 9\)
\( 4\)
\( 12\)
\( 8\)
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.
\( 6\)
\( 7\)
\( 11\)
\( 4\)
2010010506
Level:
B
How many \(3\)-digit positive numbers are divisible by \(3\)?
\( 300\)
\( 298\)
\( 299\)
\( 999\)
2010010505
Level:
B
How many \(3\)-digit positive numbers are divisible by \(4\)?
\( 225\)
\( 223\)
\( 224\)
\( 996\)
2010010504
Level:
A
First five terms of four sequences are given. One of these sequences is not an arithmetic sequence. Choose this sequence.
\( 2,~0,~2,~0,~2\)
\( 7,~7,~7,~7,~7\)
\( 6,~11,~16,~21,~26\)
\( -\frac32,~-\frac12,~\frac12,~
\frac32,~\frac52\)
2010010503
Level:
A
First five terms of four sequences are given. One of these sequences is not an arithmetic sequence. Choose this sequence.
\( 1,~-1,~1,~-1,~1\)
\( 5,~5,~5,~5,~5\)
\( 7,~12,~17,~22,~27\)
\( -\frac12,~0,~\frac12,~1,~\frac32\)