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B-14.

For parts (a) and (b), find a recursive equation in $a_n$ form for each sequence. (For a reminder about $a_n$ form see the Math Notes box in Lesson A.3.2.) For parts (c) and (d) find an explicit equation for each sequence. Homework Help ✎

1. $108, 120, 132, …$

What is $a_1$? How are the terms changing?

$a_1 = 108, a_{n+1} = a_n + 12$

1. $\frac { 2 } { 5 }, \frac { 4 } { 5 }, \frac { 8 } { 5 }, …$

First find the generator for the sequence.

$a_1 = \frac{2}{5}, a_{n+1} = 2a_n$

1. $3741, 3702, 3663, …$

Is the sequence arithmetic or geometric?

1. $117, 23.4, 4.68, …$

Is the sequence arithmetic or geometric?