Find the 12th term of the geometric sequence 1, comma, minus, 4, comma, 16, comma, point, point, .1,−4,16,...
Question
Find the 12th term of the geometric sequence 1, -4, 16, ...
Solution
The given sequence is a geometric sequence where each term is multiplied by -4 to get the next term.
The formula for the nth term of a geometric sequence is a * r^(n-1), where:
- a is the first term of the sequence,
- r is the common ratio, and
- n is the term number.
In this case, a = 1, r = -4, and n = 12.
Substituting these values into the formula gives:
1 * (-4)^(12-1) = 1 * (-4)^11
This simplifies to -4^11, which equals -4194304.
So, the 12th term of the sequence is -4194304.
Similar Questions
Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the geometric sequence.15th term: 4, 8, 16,. . .
Find the 12th term of the geometric sequence 2, comma, minus, 8, comma, 32, comma, point, point, .2,−8,32,...
What will be the 7th term of the geometric sequence 1, 4, 16, ...?*1 pointA. 1024B. 4096C. 16384D. 32768
What are the next three terms of the geometric sequence 8, 4, 2, ____, ____, ____ ?Select one:a. 1, 0, -1b. 1, 0.5, 0c. 1, 0.5, -0.5d. 1, 0.5, 0.25
Find the nth term of the geometric sequence with given first term a and common ratio r.a = −6, r = −3an = What is the fourth term?a4 =
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.