Question

Hello if you're able to answer this question help me and provide work as well, Thank you.

Answer 1

Answer:

Option A. Only Khaled

Step-by-step explanation:

To know which option is correct, we shall use the formula suggested by both Khaled and Wilma to see which will give the sequence given in the question.

For Khaled:

F(n) = 1 • 3ⁿ¯¹

n = 1

F(n) = 1 • 3ⁿ¯¹

F(1) = 1 • 3¹¯¹

F(1) = 1 • 3⁰

F(1) = 1 × 1

F(1) = 1

n = 2

F(n) = 1 • 3ⁿ¯¹

F(2) = 1 • 3²¯¹

F(2) = 1 • 3¹

F(2) = 1 × 3

F(2) = 3

n = 3

F(n) = 1 • 3ⁿ¯¹

F(3) = 1 • 3³¯¹

F(3) = 1 • 3²

F(3) = 1 × 9

F(3) = 9

For Wilma

F(n) = 1 • 3ⁿ

n = 1

F(n) = 1 • 3ⁿ

F(n) = 1 • 3¹

F(1) = 1 × 3

F(1) = 3

n = 2

F(n) = 1 • 3ⁿ

F(2) = 1 • 3²

F(2) = 1 × 9

F(2) = 9

n = 3

F(n) = 1 • 3ⁿ

F(3) = 1 • 3³

F(3) = 1 × 27

F(3) = 27

SUMMARY

Using Khaled's formula i.e F(n) = 1 • 3ⁿ¯¹ we obtained 1, 3, 9,..

Using Wilma's formula i.e F(n) = 1 • 3ⁿ

We obtained 3, 9, 27,..

Now, comparing the sequence obtained using the formula of both Khaled and Wilma, we can see that only the sequence of Khaled is the same with the one given in the question. Therefore, only Khaled's formula is correct.