2010010503 Level: AFirst five terms of four sequences are given. One of these sequences is not an arithmetic sequence. Choose this sequence.\( 1,~-1,~1,~-1,~1\)\( 5,~5,~5,~5,~5\)\( 7,~12,~17,~22,~27\)\( -\frac12,~0,~\frac12,~1,~\frac32\)
2010010504 Level: AFirst five terms of four sequences are given. One of these sequences is not an arithmetic sequence. Choose this sequence.\( 2,~0,~2,~0,~2\)\( 7,~7,~7,~7,~7\)\( 6,~11,~16,~21,~26\)\( -\frac32,~-\frac12,~\frac12,~ \frac32,~\frac52\)
2110010501 Level: AOne of the given graphs shows the first six terms of an arithmetic sequence. Choose this graph.
2110010502 Level: AOne of the given graphs shows the first six terms of an arithmetic sequence. Choose this graph.
9000065301 Level: AFind the recurrence equations for the arithmetic sequence with the first term \(a_{1} = 4\) and the common difference \(d = -2\).\(a_{1} = 4;\ a_{n+1} = a_{n} - 2,\ n\in\mathbb{N}\)\(a_{1} = 4;\ a_{n+1} = a_{1} - 2,\ n\in\mathbb{N}\)\(a_{n} = 4 + a_{n+2},\ n\in\mathbb{N}\)\(a_{n+1} = a_{n} + 2,\ n\in\mathbb{N}\)
9000065302 Level: AFind the formula for the \(n\)-th term of an arithmetic sequence with the first term \(a_{1} = 1\) and the second term \(a_{2} = -2\).\(a_{n} = 4 - 3n,\ n\in\mathbb{N}\)\(a_{n} = 1 - 2n,\ n\in\mathbb{N}\)\(a_{n} = -2 + n,\ n\in\mathbb{N}\)\(a_{n} = 3 + 2n,\ n\in\mathbb{N}\)
9000065303 Level: AFind the recurrence equations for the arithmetic sequence with the second term \(a_{2} = 7\) and the common difference \(d = 4\).\(a_{1} = 3;\ a_{n} = a_{n-1} + 4,\ n\in\mathbb{N}\)\(a_{1} = 7;\ a_{n+1} = a_{n} + 4,\ n\in\mathbb{N}\)\(a_{n} = 7 + a_{n+4},\ n\in\mathbb{N}\)\(a_{n+1} = a_{n} + 7,\ n\in\mathbb{N}\)
9000065304 Level: AFind the first term \(a_{1}\) and the common difference \(d\) of the arithmetic sequence \((5 + 2n)_{n=1}^{\infty }\).\(a_{1} = 7;\ d = 2\)\(a_{1} = 5;\ d = 2\)\(a_{1} = 3;\ d = -2\)\(a_{1} = 2;\ d = 5\)
9000065305 Level: AIn the arithmetic sequence given by the relations \(a_{1} =\pi \), \(a_{n+1} = a_{n} + 2\pi \) find \(a_{13}\).\(a_{13} = 25\pi \)\(a_{13} = 27\pi \)\(a_{13} = 26\pi \)\(a_{13} = 24\pi \)
9000065306 Level: AIn the arithmetic sequence given by the second term \(a_{2} = -3\) and the fifth term \(a_{5} = 3\) find \(a_{11}\).\(a_{11} = 15\)\(a_{11} = 22\)\(a_{11} = 19\)\(a_{11} = 27\)