Question

Question #6:The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.Part A If his an arithmetic sequence, write a definition for the nth term of h. Explain or show your reasoning.Question #6Part B: If h is a geometric sequence, write a definition for the nth term of h. Explain or show your reasoning,

Answer 1

`\begin{gathered} \text{ If h(1)=2 and h(2)=6, then} \\ h(n)=a+(n-1)d \\ \\ \text{Then }a=2\text{ and d=4} \\ \\ h(n)=2+4n \end{gathered}`
`\begin{gathered} \text{if h is a geometric secuence then it has the shape} \\ h(n)=ar^(n-1) \\ \\ h(1)=2,\text{ thus a=2} \\ \\ h(2)=6,\text{ thus r=3} \\ \\ then \\ \\ h(n)=2(3^(n-1)) \end{gathered}`