Write an equation for the nth term of the arithmetic sequence. Then find a40. 1/4,1/2,3/4,1,...​

The nth term is:

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

In which is the first term and d is the common difference.

1/4,1/2

This means that:

1/4

This means that

The nth term is:

Then find a40.

So

a40 = 10

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.