Download 78 Geometric Sequences

7­8 Geometric Sequences geometric sequence​
(noun) jee­uh­me­trik see­kwuh­ns Related Words:​
starting value, common ratio, constant value Main Idea:​
A geometric sequence is a sequence of numbers where the ratio of any term to its preceding term is a constant value. All geometric sequences have a starting value and a common ratio. Example:​
The sequence 2, 6, 18, 54, … is a geometric sequence because the ratio of any term to its preceding term is 3. Essential Understanding​
In a ​
geometric sequence​
, the ratio of any term to its preceding term is a constant value. Determine whether the sequence is geometric sequence. Explain. A.) 5, 10, 15, 20, … B.) 256, 192, 144, 108, … C.) 10, 20, 40, 80, … Find the common ratio for each geometric sequence. D.) 81, 27, 9, 3, …
E.) 5, 20, 80, 320, … F.) 2, ­6, 18, ­54, …. Any geometric sequence can be written with both an explicit and a recursive formula. The recursive formula is useful for finding the nest term in the sequence. The explicit formula is more convenient when finding the ​
n​
th term. Write the explicit formula for each geometric sequence. G.) 3, 6, 12, 24, … H.) 3, ­12, 48, ­192, … I.) 686, 98, 14, 2, … Write the explicit formula for each geometric sequence. J.) 1, 5, 25, 125, … K.) 2, ­8, 32, ­64, … L.) 193, 128, 85 13 , 56 89 , … you can also represent a sequence by using function notation. This allows you to plot the sequence using the points (n, an ) where n is the term number and an is the term. M.) A geometric sequence has an initial value of 18 and a common ratio of 12 . write a function to represent this sequence. Graph the function. Determine if each sequence is a geometric sequence. If it is, find the common ratio and write the explicit and recursive formulas. N.) 20, 15, 10, 5, … O.) 98, 14, 2, 27 , … P.) 200, − 100, 50, − 25, ... Identify each sequence as Arithmetic, geometric, or neither. Q.) 42, 38, 34, 30, … R.) ­4, 1, 6, 11, … S.) 2, 8, 32, 128, …