Find the common ratio for the sequence given by
Hint
Common ratio = what are we multiplying by?
Answer
Find the common ratio for the sequence given by 4, 0, 0, 0,…
It may look weird, but we're definitely multiplying each term by the same number, over and over.
0
Find the explicit rule for the geometric sequence with a1 = 4 and a4 = 4⁄27.
You'll need {an} = a1(r)n – 1.
Find the explicit rule for the geometric sequence with a1 = 1 and a5 = 4.
{an} = a1(r)n – 1.
List the first four terms and of a geometric sequence with a first term of 2 and a common ratio of .
a1 = 2, r = … well you get the idea…
Find the 18th term of a geometric sequence with a first term of 5 and a common ratio of 3.
Find a rule and then get to gettin'.
645,700,815
Determine how many terms exist in the sequence 1, 5, 25,…,1,953,125.
Use {an} = a1(r)n – 1 to plug in what you know and solve for n.
10
Determine how many terms exist in the sequence .
Use {an} = a1(r)n – 1 to plug in what you know and solve for n…again.
7
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