I'm confused on how to use recursive form, the directions talk about a(n+1) = a(n) x r... so confused on this! Please help,
Find the common ratio, write the recursive form, then find the next 3 terms in the geometric sequence:
1, 4, 16, 64
10, 100, 1000, 10000
128, 64, 32, 16
Find the common ratio, write the recursive form, then find the next 3 terms in the geometric sequence:
1, 4, 16, 64
10, 100, 1000, 10000
128, 64, 32, 16
-
For the first sequence, the common ratio is 4/1 = 16/4 = 64/16 = 4. Therefore, the recursive form is
a(n+1) = 4 a(n)
so the next three terms are 64*4 = 256, 256*4 = 1024, and 1024*4 = 4096.
You should be able to do the other two. For the second sequence, the common ratio is 10 and for the third sequence, the common ratio is ½. The last terms you will find are 10000000 and 2.
a(n+1) = 4 a(n)
so the next three terms are 64*4 = 256, 256*4 = 1024, and 1024*4 = 4096.
You should be able to do the other two. For the second sequence, the common ratio is 10 and for the third sequence, the common ratio is ½. The last terms you will find are 10000000 and 2.