# Pre-Calculus

posted by .

Find the twelfth term of the geometric sequence: 1/16, 1/8, 1/4....

Common ratio: 1/2

I got the ratio by dividing 1/16 by 1/8 which gave me 1/2 and I divided 1/8 by 1/4 to get 1/2-----That is how I got a common ratio of 1/2.

In order to obtain the 12th term I think I messed up somewhere:

a12=(1/16)(1/2)^12-1 which gave me 3.05E

I don't think that is right but don't know where I went wrong.

Help!!!

Thanks

• Pre-Calculus -

3.05 E-5 not 3.05 E

Multiply by 1/2 11 times and the result is likely to be very small.

## Similar Questions

1. ### maths

The common ratio r of a geometric sequence satisfies the quadratic equation 2r squared - 3r -2 = 0. If the sum to infinity of the same sequence is 6, explain why, in this case, r can only take on one value, and hence state the common …
2. ### Algebra

Need to get these problems checked-- 31. Determine whether the sequence 7, 21, 35, 49 is geometric. If so, find its common ratio. a. no b. yes, common ratio of 14 c. yes, common ratio of 12 I'm stuck between A and B.. 32. What are …
3. ### Geometric Sequence

Find the fourth term (a4) of geometric sequence if the first term (a1) is 2 and the common ratio, r is 4.
4. ### Math

A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first …
5. ### Maths

Eric thinks of 2 sequences.One is geometric and the other arithmetic.Both sequences start with the number 3.The common ratio of the geometric sequence is the same as the common difference of the arithmetic sequence.If the 6-th term …
6. ### Maths

1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is …
7. ### Math

1. What is the tenth term of the geometric sequence whose first term (a1) is 16 and the common ratio (r) is –½?
8. ### Math

1. Find the common ratio and the 7th term of the sequence 2/9, 2/3, 2, 6, 18, ..... 2. The 3rd and 5th terms of a geometric sequence are 2 and 1/2 respectively. What is the first term?
9. ### pre-calculus urgent

Please help me here as well to clarify more my understanding. Let a1, a2, a3, . . . be a geometric sequence with initial term a and common ratio r. Show that a1^2, a2^2, a3^2, . . . is also a geometric sequence by finding its common …
10. ### Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is …

More Similar Questions
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}