What will be the 7th term of the geometric sequence 1, 4, 16, ...?*1 pointA. 1024B. 4096C. 16384D. 32768
Question
What will be the 7th term of the geometric sequence 1, 4, 16, ...?*1 pointA. 1024B. 4096C. 16384D. 32768
Solution
The 7th term of a geometric sequence can be found using the formula:
a_n = a_1 * r^(n-1)
where: a_n is the nth term we're looking for, a_1 is the first term in the sequence, r is the common ratio, and n is the position of the term.
In this case, a_1 is 1, r is 4 (since each term is 4 times the previous term), and n is 7.
So, the 7th term is:
a_7 = 1 * 4^(7-1) = 1 * 4^6 = 1 * 4096 = 4096
So, the 7th term of the sequence is 4096. Therefore, the correct answer is B. 4096.
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,. . .
In the geometric sequence 5, 10, 20, 40, ..., what is the 6th term?*64080320160
Find the 12th term of the geometric sequence 1, comma, minus, 4, comma, 16, comma, point, point, .1,−4,16,...
What is the 7th term in the geometric sequence described by this explicit formula?an = 2 • 5(n – 1)A.31,250B.1,000,000C.156,250D.15,625SUBMITarrow_backPREVIOUS
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
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.