A sequence of numbers begins:

What is the one-hundredth entry in this sequence?

A sequence of numbers begins:

What is the one-hundredth entry in this sequence?

The above diagram shows a sequence of figures. In the fourth figure, each of the four variables, , , , and , is replaced by a value.

What value replaces ?

Define

Which of the following expressions is equal to ?

The above diagram shows a sequence of figures. In the fourth figure, each of the three variables, , , and , is replaced by a value.

What value replaces ?

Anya, Brian, Clark, and Donna represented Central High in a math contest. The team score is the sum of the three highest scores; Anya outscored Clark, Brian outscored Donna; Donna outscored Clark. Whose scores were added to determine the team score?

Give the sum of the infinite geometric series that begins

Examine the above figure. In the top row, the cubes of the whole numbers are written in ascending order. In each successive row, each entry is the difference of the two entries above it - five of those entries have been calculated for you.

What is the fifth entry in the third row?

The above diagram shows a sequence of figures. In the fourth figure, each of the four variables, , , , and , is replaced by a value.

What value replaces ?

The top row in the above diagram shows a sequence of figures. Which figure in the bottom row is the next one in the sequence?