What is the 18th term in the following sequence?
{0.125, 0.25, 0.5, 1, ...}
changing your numbers to fractions ....
0.125, 0.25, 0.5, 1, ...
= 1/8, 1/4/, 1/2, 1,
it looks like a GS with a = 1/8 and r = 2
so term(8) = ar^7 = (1/8)(2^7) = 16
To find the 18th term in the given sequence {0.125, 0.25, 0.5, 1, ...}, we can observe that each term is obtained by multiplying the previous term by 2.
Starting with the first term, 0.125, we can multiply it by 2 to get the second term: 0.125 * 2 = 0.25.
Similarly, we can continue this process to find the next terms:
0.25 * 2 = 0.5
0.5 * 2 = 1
1 * 2 = 2
2 * 2 = 4
4 * 2 = 8
8 * 2 = 16
16 * 2 = 32
32 * 2 = 64
64 * 2 = 128
128 * 2 = 256
256 * 2 = 512
512 * 2 = 1024
1024 * 2 = 2048
2048 * 2 = 4096
4096 * 2 = 8192
8192 * 2 = 16384
By continuing this process, we can see that the 18th term in the sequence is 16384.