Question

Question is down below drop downs terms are the same for each one

Answer 1

We have to match the sequence with the formulas.

The options for the sequences are:

• 3, 15, 75, 375

,

• 18, 6, 2, 2/3

,

• 17, 13, 9, 5

,

• 1, 2, 4, 7

The first formula is:

`a(n)=(1)/(3)\cdot a(n-1)`

This is a geometric sequence, where the common ratio is 1/3.

This means that each term is reduced to 1/3 of the previous one.

This is the case for: 18, 6, 2, 2/3.

The second sequence is:

`b(n)=b(n-1)-4`

This is an arithmetic sequence with a common difference d = -4.

Each term is reduced by 4 units.

This corresponds to 17, 13, 9, 5.

The third sequence is:

`c(n)=5\cdot c(n-1)`

This is a geometric sequence with a common ratio r = 5.

This correspond to 3, 15, 75, 375.

The fourth sequence is:

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

This sequence increases by one less than the sequence step.

This matches with the sequence 1, 2, 4, 7.

Answer:

1) 18, 6, 2, 2/3

2) 17, 13, 9, 5

3) 3, 15, 75, 375

4) 1, 2, 4, 7