Find the next two numbers in the pattern

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Presentation transcript:

Find the next two numbers in the pattern Find the next two numbers in the pattern . Then describe the rule to determine the pattern. 1, 3, 5, 7, 9, 11, _____, ______ -2, -4, -6, -8, -10, -12, ______, ______ .2, 1, 5, 25, 125, 625, ______, _______ 512, 256, 128, 64, 32, 16, ______, ______ 2, 5, 8, 11, 14, 17, _____, ______

2, 5, 8, 11, 14, 17, _____, ______ This is called a sequence— (an ordered list of numbers) Each number is called a term

Describe the pattern & find the next three terms 27, 34, 41, 48, ____, _____, _____ 243, 81, 27, 9, ____, ____, _____

Describe the pattern & find the next three terms Suppose you drop a ball from a height of 100 cm. It bounces back to 80% of its previous height. How high will it go after its 5th bounce?

Suppose you drop a handball from a height of 10 feet Suppose you drop a handball from a height of 10 feet. After the ball hits the floor, it rebounces to 85% of its previous height. How high will the ball rebound after its fourth bounce?

Recursive Formula Defines the terms in a sequence by relating each term to the one before it. Describe the pattern that allows you to find the next term in the sequence – 2, 6, 18, 54, 162….. Write a recursive formula for the sequence

Write a recursive formula for the sequence. 144, 36, 9, 9/4

Explicit Formula– a formula expressed in the nth term in terms of n The table shows the perimeter of squares with sides from 1 to 6 units long. The numbers in each row form a sequence. Length of side 1 2 3 4 5 6 Perimeter 8 12 16 20 24 a. For each sequence, find the next term (a7) and the twenty-fifth (a25). b. Write an explicit formula for the sequence.