At Willow Creek Farms, Chrissy likes to stack the mandarins in triangular pyramids. Each layer of mandarins is in the shape of an equilateral
triangle, and the top layer is a single mandarin.
1. How many mandarins are in a stack eight layers high?
2. How is this task similar to others we have done? How is it different? What types of patterns
are present in this situation?

There a total of 82 students in the robotics club and the science club. the science club has 6 fewer students than the robotic club. how many students are in science club?

There were 816 people at a concert when a band started to play. after each song, only half the people stayed to hear the next song. how many people were left at the concert after x songs? write a function to represent this scenario.

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.