SOLUTION: Write the first five terms of the geometric sequence. Find the common ratio and write the nth term of the sequence as a function of n.
a1 = 18, ak + 1 = −2/5ak
Common rat
Algebra.Com
Question 1178529: Write the first five terms of the geometric sequence. Find the common ratio and write the nth term of the sequence as a function of n.
a1 = 18, ak + 1 = −2/5ak
Common ratio=
an=
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Using "a1" to denote the first term is poor form. Use a(1) or a[1] or something like that.
The form gets really bad when you try to write "ak + 1" for the (k+1)th term. Use a(k+1) or a[k+1].
The statement (in better form) "a(k+1) = (-2/5)a(k)" means each term is found by multiplying the previous term by (-2/5). That tells you what the common ratio is.
The n-th term of a geometric sequence is the first term, multiplied by the common ratio (n-1) times: a(n) = a(1)*r^(n-1).
You can do the minimal amount of work to find the answers to your questions.
RELATED QUESTIONS
the third and sixth terms of a geometric sequence are-75 and -9375 respectively. Find the (answered by htmentor)
Write the first five terms of the arithmetic sequence. Find the common difference and... (answered by mananth)
1. Find a formula for the nth term of the following sequence: 4, 12, 36, 108, 324, . . .... (answered by htmentor)
Find the common ratio and write out the first four terms of the geometric sequence... (answered by MathLover1)
Find the common ratio and write out the first four terms of the geometric sequence... (answered by Shin123)
The first term of a geometric sequence is 5 and the common ratio is 2. Find the first... (answered by Edwin McCravy)
Use the formula for the general term (the nth term) of a geometric sequence to find... (answered by stanbon)
Use the formula for the general term (the nth term) of a geometric sequence to find the... (answered by ewatrrr)
write the first five terms of the sequence in which the nth term is... (answered by Edwin McCravy)