Exponential Functions and Recursive Formulas

1

2

3

4

13, 9, 5, 1, -3

13, 17, 21, 25, 29

-4, 9, 22, 35, 48

-4, -17, -30, -47, -60

17, 3, -11, -25, -39

17, 31, 45, 59, 73

17, 7, -3, -13, -23

-14, 3, 20, 37, 54

17, 3, -11, -25, -39

17, 31, 45, 59, 73

17, 7, -3, -13, -23

-14, 3, 20, 37, 54

u₁ = 6

u_n = u_n-1 + 11 where n ≥ 2

u₁ = 6

u_n = u_n-1 - 4 where n ≥ 2

u₁ = 6

u_n = u_n-1 + 9 where n ≥ 2

u₁ = 6

u_n = u_n-1 + 6 where n ≥ 2

a(n)=a(n-1) + 16
a(1)=17

a(n)=a(n-1)- 17
a(1)=17

a(n)=a(n-1) - 15
a(1)=17

a(n)=a(n-1)- 16
a(1)=17

$$a_1=7$$ $$a_n=a_{\left(n-1\right)}+7$$

$$a_1=7$$ $$a_n=a_{\left(n-1\right)}\cdot7$$

$$a_1=7$$ $$a_n=a_{\left(n-1\right)}\cdot2$$

$$a_1=7$$ $$a_n=a_{\left(n-1\right)}+14$$

$$a_n=4+\left(n-1\right)2$$

$$f\left(n\right)=2+4\left(n-1\right)$$

$$f\left(n\right)=4+2\left(n-1\right)$$

$$a_n=a_{n-1}+2$$

$$a_n=a_{n-1}-2$$

f(0) = 5
f(x) = f(x-1) - 2

f(0) = 5
f(x) = f(x-1) + 2

f(0) = 5
f(x) = f(x-1) - 3  

f(0) = 5
f(x) = f(x-1) + 3 

f(n) = f(n-1) + 16

f(1)=17

f(n) = f(n-1) - 17

f(1)=17

f(n) = f(n-1)- 15

f(1)=17

f(n) = f(n-1) - 16

f(1)=17