Beginning with the third term, each term is the sum of the previous two:

, the number in the circle;

, the number in the square.

The number that is added to each term to obtain the next one increases by 2 each time:

If we let  be the number in the circle, then to maintain the pattern,

so

. This is the correct choice. 

Each term, beginning with the third, is the sum of the previous two:

If  is the term in the circle, then 

and

.

In an arithmetic sequence, each term is obtained by adding the same number to the previous term - the common difference. Since , 6 is the common difference. The next two terms are:

19 replaces the square and is the correct choice.

In a geometric sequence, each term is obtained by muliplying the previous term by the same number - the common ratio. 

Since , 7 is the common ratio. The next two numbers in the sequence are 

343 replaces the square; of the four choices, 350 comes closest and is the correct response.

There are three ways to choose a meat topping - four minus the one Mike won't eat.

There are five vegetable toppings - six minus the one to which John is allergic - from which to choose three. This is

The number of ways to make a Special Pizza that leaves out anchovies and mushrooms is 

Roger paid $915 rent for each of eight complete months - January through August - for a total of

He paid the rent for May two days late, so the penalty was

To break the lease, he paid two months' rent, or

Add these, add the prorated September rent, and subtract the returned deposit:

A number is divisible by 4 if and only if its last two digits form a number which itself is divisible by 4. The numbers 08, 28, 48, 68, and 88 are each divisible by 4, as seen here:

However, 18, 38, 58, 78, and 98 are not divisible by 4, as seen here:

Therefore, the ways to fill in the box to form a number divisible by 4 are 2, 4, 6, 8, and 0 - five ways.

An integer is divisible by 3 if and only if its digit sum is also divisible by 3. If we let  be the missing digit, then the digit sum is 

We can test each digit from 0 to 9 to see which sums are divisible by 3. We can see that this is the case if:

The other seven digits can be seen to form a digit sum that is not a mulitiple of 3 using the same method.

Therefore, there are three ways to fill in the box to form a multiple of 3.

For each of the four couples, there are two ways to select the table at which to seat each person - the man can be at the left table and the woman can be at the right, or vice versa. This makes  ways to make this decision total between the four couples.

Once these four choices are made, for each table, there are 

ways to seat the four chosen persons. 

By the multiplication principle. there will be 

 different arrangements that seat each husband and wife at separate tables.