Mathematics Question Set: Sequences, Functions, and Geometric Progressions
This resource presents a comprehensive set of mathematics questions focusing on sequences, functions, and geometric progressions. It includes tasks such as determining explicit rules for given sequences, identifying common ratios, finding specific terms in a sequence, and writing recursive rules. Ideal for students seeking to enhance their understanding of mathematical sequences and functions, this material provides both practice and application of key concepts in mathematics.
Mathematics Question Set: Sequences, Functions, and Geometric Progressions
E N D
Presentation Transcript
Question Ball Toss Throw the ball at a number then answer that question.
Question 2 Which explicit rule describes the sequence below? 1, 7, 13, 19, 25… • an = 6n +1 • an = -6n + 1 • an = 6n -5 • an = -6n + 5
Question 4 Find the 10th term in the sequence • none of the above
Question 5 Find the sixth term of the geometric sequence a) b) c) d)
Question 6 Determine the common ratio and find the next three terms of the geometric sequence 1, -2, 4, -8, … • r = 2, a5 = 16, a6 = 32 a7 = 64 • r = -3, a5 = -11, a6 = -14, a7 = -17 • r = -2, a5 = 16, a6 = -32 a7 = 64 • r = 3, a5 = -5, a6 = -2, a7 = 1
Question 8 5) For the functions a) b) c) d)
Question 9 Which explicit rule describes the sequence below? 1, 7, 13, 19, 25… • an = 6n +1 • an = -6n + 1 • an = 6n -5 • an = -6n + 5
Question 10 Write an explicit rule for the sequence 4, 12, 36, 108,…
Question 12 Which sequence is not geometric? Explain why. • 3,6, 12, 24,…. • 7,5, 3,1,…. • 1,2,4,8,….. • 27,9,3,1,….
Question 13 Use the table to find f(-3) • 7 • 1 • 2 • none of these
Question 16 Find the 22nd term for the sequence 9, 14, 19, 24…
Question 17 For the function , find f(2). • 2 • 0 • 28 • None of these
Question 18 Write a recursive rule for the sequence -12, -13, -14, -15….
Question 19 Use the graph below to find the x-value when • 3 • 0 • 5 • Not definded
Question 20 Write an explicit rule for the sequence 21, 25, 29, 33…
Question 21 The length of a rectangle is defined by the function . The width of a rectangle is found by the function . Determine the function that would define the area of the rectangle.
Question 22 Find the next 3 terms in the sequence 18, 12, 6, 0…
Question 23 The formula can be used to find the time(t) when given the distance(D) a car has traveled given a rate(r). If the distance a car has traveled is defined by the function and the rate is defined by the function , find the time it has taken to travel the given distance and rate.
Question 24 Write an explicit rule for the sequence 6, 18, 54…
Question 25 Find when . • -3 • - • 3
Question 26 Write a recursive rule for the sequence -4, 0, 4, 8….
Question 27 Find when and
Question 28 Find the next 3 terms in the sequence 13, 16, 19, 22…
Question 29 Find when
Question 30 Write a rule for the nth term of the sequence 6, 24, 96, 384, … Then find a7.