Write each sequence in explicit form and function notation. Identify

Fletcher Hays

Fletcher Hays

Answered question

2022-06-25

Write each sequence in explicit form and function notation. Identify the common ratio, the y intercept, and the first term of the sequence.
240, 120, 60, 30, …
3, 12, 48, 192, …
6, 30, 150, 750, …
100, 10, 1, 0.1, …

Answer & Explanation

Savanah Hernandez

Savanah Hernandez

Beginner2022-06-26Added 16 answers

1) 240 , 120 , 60 , 30 ,
First term is 240 and the common ratio is 120 240 = 60 120 = 30 60 = 1 2
Thus, y-intercept = f i r s t   t e r m c o m m o n   r a t i o = 240 1 2 = 480
Explicit form = 240 ( 1 2 ) n 1 , n 1
y = 480 ( 1 2 ) x , x 0 (function notation)

2) 3 , 12 , 48 , 192 ,
First term is 3 and the common ratio is 12 3 = 4
Thus, y-intercept = 3 4
Explicit form = 3 ( 4 ) n 1
3 4 ( 4 ) x (functional notation)

3) 6 , 30 , 150 , 750 ,
First term is 6 and common ratio is 30 6 = 5
Thus, y-intercept = 6 5
Explicit form = 6 ( 5 ) n 1
6 5 ( 5 ) x (functuional notation)
Ezekiel Yoder

Ezekiel Yoder

Beginner2022-06-27Added 3 answers

(d) Given: 100 , 10 , 1 , 0.1 ,
First term = 100
Common ratio = 10 100 = 0.1
Y-intercept = 100 0.1 = 1000
Explicit form = 100 ( 0.1 ) n 1
Functional notation = 1000 ( 0.1 ) x

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