need help asap!!

Question

help please.

classify as arithmetic, geometric, or neither. Finally find an explicit formula (rule for the nth term) for each. Designate the first term with n = 1.

ii)2b,4b,6b,8b,10b,12b,14b

iii)3, –9, 27, –81, ...

Answer 1

(i)

Step 1:

The series

An arithmetic series is a series of numbers such that the difference of any two successive members of the series is a constant.

The series is arithmetic series.

Common difference

Formula for the term in arithmetic series .

Where first term.

Substitute the values in term.

.

Step 2:

Find the first term in the series.

Substitute in .

Solution:

term .

Answer 2

(iii)

Step 1:

The series

A geometric series is a series with a constant ratio between successive terms.

The series is geometric series.

Common ratio

Formula for the term in geometric series .

Where first term.

Step 2:

For

Solution:

term .