Recursive & Nth Term Definitions

What is the correct recursive definition for sequence g?

Which of the following is the correct recursive definition for sequence g(n)?

•  $g\left(1\right)\ =\ 200,\ g\left(n\right)\ =2\cdot\ g\left(n-1\right)$ 

•  $g\left(1\right)\ =\ 200,\ g\left(n\right)\ =\frac{1}{2}\cdot\ g\left(n-1\right)$ 

•  $g\left(0\right)\ =\ 6,\ g\left(n\right)\ =2\cdot\ g\left(n-1\right)$ 

•  $g\left(0\right)\ =\ 6,\ g\left(n\right)\ =\frac{1}{2}\cdot\ g\left(n-1\right)$ 

What is the correct recursive definition for sequence a(n)?

•  $a\left(1\right)\ =\ 100,\ a\left(n\right)\ =a\left(n-1\right)+\ 5,\ \ n\ge2$ 

•  $a\left(0\right)\ =\ 100,\ a\left(n\right)\ =a\left(n-1\right)-\ 5,\ \ n\ge1$ 

•  $a\left(1\right)\ =\ 100,\ a\left(n\right)\ =a\left(n-1\right)-5,\ \ n\ge95$ 

•  $a\left(0\right)\ =\ 100,\ a\left(n\right)\ =5\cdot a\left(n-1\right),\ \ n\ge1$ 

What is the correct recursive definition for sequence a(n)?

• $a\left(1\right)\ =\ 18,\ a\left(n\right)\ =10\cdot a\left(n-1\right)$

• $a\left(0\right)\ =\ 18,\ a\left(n\right)\ =a\left(n-1\right)-\ 100$

• $a\left(1\right)\ =\ 18,\ a\left(n\right)\ =a\left(n-1\right)-100$

• $a\left(0\right)\ =\ 18,\ a\left(n\right)\ =100+a\left(n-1\right)$

What is the correct recursive definition for sequence a(n)?

• $a\left(1\right)\ =\ 88,\ a\left(n\right)\ =4+a\left(n-1\right)$

• $a\left(0\right)\ =\ 88,\ a\left(n\right)\ =a\left(n-1\right)-\ 4$

• $a\left(1\right)\ =\ 88,\ a\left(n\right)\ =a\left(n-1\right)\div4$

• $a\left(0\right)\ =\ 88,\ a\left(n\right)\ =10+a\left(n-1\right)$

What is the correct recursive definition for sequence f(n)?

•  $f\left(1\right)\ =\ 5,\ f\left(n\right)\ =3\cdot f\left(n-1\right)$ 

•  $f\left(0\right)\ =\ 5,\ f\left(n\right)\ =f\left(n-1\right)+10$ 

•  $f\left(1\right)\ =\ 5,\ f\left(n\right)\ =f\left(n-1\right)\cdot15$ 

•  $f\left(0\right)\ =\ 5,\ f\left(n\right)\ =10\cdot f\left(n-1\right)$ 

What is the correct nth term definition for sequence g(n)?

•  $g\left(n\right)\ =\ 6\cdot2^{n-1},\ \ n\ge1$ 

•  $g\left(n\right)\ =\ 6\ \cdot\ 2\left(n-1\right),\ n\ge1$ 

•  $g\left(n\right)\ =\ 6\ +\ 2^n,\ \ n\ge0$ 

•  $g\left(n\right)\ =\ 2\ \cdot\ 6^n,\ n\ge0$ 

Which of the following is the correct nth term definition for sequence g(n)?

•  $g\left(n\right)\ =\ 200\ -\ 100\left(n-1\right)$ 

•  $g\left(n\right)\ =\ 200\ -\ 100n$ 

•  $g\left(n\right)=\ 200\ +0.5\left(n-1\right)$ 

•  $g\left(n\right)\ =\ 200\ \cdot\ \left(\frac{1}{2}\right)^{^{n-1}}\$ 

What is the correct nth term definition for sequence a(n)?

•  $a\left(n\right)\ =\ 100\ -\ 5n$ 

•  $a\left(n\right)\ =\ 100-5^n$ 

•  $a\left(n\right)\ =\ -5\ +\ 100n$ 

•  $a\left(n\right)\ =\ -5\ \cdot\ 100\left(n-1\right)$ 

What is the correct nth term definition for sequence a(n)?

•  $a\left(n\right)\ =\ 100\ +\ 18n$ 

•  $a\left(n\right)\ =\ 18\ \cdot\ 100n$ 

•  $a\left(n\right)\ =\ 18\ +\ 100n$ 

•  $a\left(n\right)\ =\ 100\ +\ 18\left(n-1\right)$