Answered

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,

Question 6The first two numbers in a sequence h are h1 2 and h2 6Part A If his an arithmetic sequence write a definition for the nth term of h Explain or show y class=


Answer :

[tex]\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}[/tex][tex]\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}[/tex]

Other Questions