Question

7.

Answer 1

The definition of the nth term are h(n) = 4n - 2 and h(n) =2 *3^(n -1)

How to determine the arithmetic sequence?

The given parameters are:

h(1) = 2

h(2) = 6

Calculate the common difference using:

d = h(2) - h(1)

This gives

d = 6 -2

d = 4

The definition of the nth term is then calculated as:

h(n) =h(1) + (n -1) d

This gives

h(n) = 2 + (n - 1) * 4

h(n) = 2 + 4n - 4

Evaluate

h(n) = 4n - 2

Hence, the definition of the nth term is h(n) = 4n - 2

How to determine the geometric sequence?

The given parameters are:

h(1) = 2

h(2) = 6

Calculate the common ratio using:

r = h(2)/h(1)

This gives

r = 6/2

d = 3

The definition of the nth term is then calculated as:

h(n) =h(1) *r^(n -1)

This gives

h(n) =2 *3^(n -1)

Hence, the definition of the nth term is h(n) =2 *3^(n -1)

Read more about sequence at:

brainly.com/question/6561461

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