Exponential Functions AWS
Check For Understanding – Represent Sequences with Linear/Exponential Functions Directions: Complete without notes and by yourself to determine whether you have mastered this objective. 1) A sequence is defined recursively by the rules below. What is f(4)? f(1) = 3 f(2) = 10 f(n + 1) = f(n) + f(n-1)
2) Desean Jackson catches touchdowns for the Washington Redskins of the NFL. The number of touchdowns he scored in each of his first 4 seasons is listed below. If n is the number of years since he started to play in the NFL, what is an expression that can be used to predict the number of touchdowns he will score after n years? 1, 2, 4, 8
3) A sequence is shown below. What is a function, f(x), that defines the nth term of the sequence? 45, 15, 5, 5/3, …
4)What is the sequence that is generated by the rule, 5 + 6(n-1), where n represents the position of a term in the sequence?
5) What function, f(x), produces the same sequence as wn = wn+1 – 5, where w1 = 100?
Answer Key: 1) f(4) = 23 2) 2n-1
3) f(x) = 45(1/3)n-1 4) 5, 11, 17, 23, … 5) f(x) = 95 + 5x
2) Desean Jackson catches touchdowns for the Washington Redskins of the NFL. The number of touchdowns he scored in each of his first 4 seasons is listed below. If n is the number of years since he started to play in the NFL, what is an expression that can be used to predict the number of touchdowns he will score after n years? 1, 2, 4, 8
3) A sequence is shown below. What is a function, f(x), that defines the nth term of the sequence? 45, 15, 5, 5/3, …
4)What is the sequence that is generated by the rule, 5 + 6(n-1), where n represents the position of a term in the sequence?
5) What function, f(x), produces the same sequence as wn = wn+1 – 5, where w1 = 100?
Answer Key: 1) f(4) = 23 2) 2n-1
3) f(x) = 45(1/3)n-1 4) 5, 11, 17, 23, … 5) f(x) = 95 + 5x
