Sequences

Which of the following does NOT describe a pattern?

• Algebra, Geometry, Trigonometry, Calculus

• Triangle, Quadrilateral, Pentagon, Hexagon

• Arithmetic, Geometric, Harmonic, Fibonacci

• Electron, Neutron, Proton, Polygon

What are the first five terms of the sequence defined by f(x) = 3x + 2 ?

• 5, 8, 11, 14, 17

• 5, 7, 8, 10, 12

• -4, -7, -10, -13, -16

• 12, 15, 18, 21, 21

What is the 10th term of the sequence?

• 19 / 21

• 80 / 82

• 99 / 101

• 100 / 102

Which is the general term of the sequence 4, 8, 12, 16, ...?

• a_n = 2n + 2

• a_n = 4n

• a_n = 2n

• a_n = 1 / 4n - 2

Which of the following illustrates an arithmetic sequence?

• 2, 4, 6, 8

• 2, 4, 8, 16

• 2, 1, 1/2, 1/4

• 1, 1, 2, 3, 5

What is the next term of an arithmetic sequence 5, 2, -1, ...?

• -7

• -6

• -4

• -3

What is the common difference in the arithmetic sequence 1, 6/4, 2, 10/4, 3, ...?

• 1/4

• 3/4

• 1/2

• 3/2

Which is the general term for the arithmetic sequence 1, 6/4, 2, 10/4, 3, ...?

• a_n = 1/2(n+2)

• a_n = 1/2(n-1)

• a_n = 1/2(n+1)

• a_n = 1/2(n-2)

If three arithmetic means are inserted between -15 and 9, what is the first arithmetic mean?

• 3

• -3

• -6

• -9

A small theater has 12 seats in the first row, 15 seats in the second row, 18 seats in the third row, and so on. How many seats are there if there are 10 rows in all?

• 144

• 255

• 366

• 488