IM Alg2.1.10 Practice: Situations and Sequence Types
A sequence is defined by , for . Write a definition for the term of .
A geometric sequence, starts 20, 60, . . . Define recursively and for the term.
A geometric sequence g starts at 500 and has a growth factor of 0.6. Sketch a graph of g showing the first 5 terms.
An arithmetic sequence has and . Explain or show how to find the value of .
An geometric sequence has and . Explain or show how to find the value of .
A piece of paper has an area of 96 square inches.
Complete the table with the area of the piece of paper , in square inches, after it is folded in half times.
Define for the term.
What is a reasonable domain for the function ? Explain how you know.
Here is a growing pattern:
Describe how the number of dots increases from Stage 1 to Stage 3.
Write a definition for sequence , so that is the number of dots in Stage .
Is a geometric sequence, an arithmetic sequence, or neither? Explain how you know.
A paper clip weighs 0.5 grams and an empty envelope weighs 6.75 grams.
Han adds paper clips one at a time to an empty envelope. Complete the table with the weight of the envelope , in grams, after paper clips have been added.
Does make sense? Explain how you know.