State the geometric sequence both recursive and explicit formulas.

recursive formula =

explicit formula:

Step-by-step explanation:

Thinking process:

Let a sequence be given as:

3   9    27    81

As can be observed from the sequence, the next number of the sequence is a multiple of 3, that is 9 is a multiple of 3. Similarly, 27 is 9 multiplied by 3

then, let the first term be a. the common multiplying factor will be r (in this case 3). Then the formula will be

In addition, the powers rule applies.

For instance:

9 =

27 =

81 =

Then the explicit formula will be

c

c

c

c

c

c

c

cc

c

step-by-step explanation:

a

step-by-step explanation: