Question

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Answer 1

The answer is 4,12,36,108,324

Step-by-step Explanation:

a1=4(3)¹‐¹=4(3)⁰=4

a2=4(3)²‐¹=4×3=12

a3=4(3)³‐¹=4(3)²=4×9=36

a4=4(3)⁴‐¹=4(3)³=4×27=108

a5=4(3)⁵‐¹=4(3)⁴=4×81=324

Answer 2

4,12,36,108,324.....

Explanation:

The sequence represented by the equation
`a=4(3)^(n-1)`is a geometric sequence with first term 5 and common ratio 3. The first 4 terms of the sequence are:

`a_1 = 4(3)^(1-1) =4(3)^0 = 4`

`a_2 =4(3)^(2-1) = 4(3)^1 = 12`

`a_3 =4(3)^(3-1) = 4(3)^2 = 36`

`a_4 = 4(3)^(4-1) =4(3)^3 = 108`

`a_5=4(3)^(5-1) =4(3)^4=324`

The sequence can be written as:

`a_n = 4(3)^(n-1)`

where n is the term number.

Therefore, the sequence is 4,12,36,108,324.....