CPM Homework Help : CCG Problem 4-73

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4-73.

Write the first four terms of each of the following sequences.

$a_n=3·5^{n-1}$
Hint (a):
Substitute the number of the term for $n$ . For example, replace the $n$ with $1$ to find the first term.

$a_1=10$ , $a_{n+1}=-5a_n$
Hint 1(b):
The first term is given. Use $(n=1)$ in the second part of the formula to find the second term.
Step (b):
$a_{(1+1)}=-5(a_1)\\\quad\ \ a_2 = -5(10)\\\quad \ \ a_2 = -50$
Hint 2(b):
Use the answer for $a_2$ to find the third and fourth terms.
Answer (b):
$10$ , $-50$ , $250$ , $-1250$

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