Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain. n an
1 −4
2 20
3 −100

an = −5(−4)n − 1 where n ≥ 1
an = −4(−5)n − 1 where n ≥ 1
an = −4(5)n − 1 where n ≥ −4
an = 5(−4)n − 1 where n ≥ −4

Given:

The geometric sequence is:

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

           ...(i)

Where, a is the first term, r is the common ratio and .

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

Putting in (i), we get

where

Therefore, the correct option is B.

sites:

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.