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The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.
1. If h is an arithmetic sequence, write a definition for the nth term of h. Explain
or show your reasoning.
2. If h is a geometric sequence, write down a definition for the nth term of h. Show reasoning

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dchoo333

Answer:

1. Hn (nth term of H) = 4n - 2

This works for every number. Way to find the definition for the nth term of an arithmetic sequence where d is the common difference and a is the first term of the sequence:

dn - (d - a)

In this case, 4 is the common difference and the first term is 2 so it's 4n - (4 - 2) which is 4n-2.

2. Hn = ad(n–1) where d is the common ratio and a is the first term.

Step-by-step explanation:

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