Add .01 + .02 + .04 + .08 and do this sequence 30 times
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the sequence:
0.1 + 0.2 + 0.4 + 0.8…
Write the sequence up until the 30th term
Solution:
In order to write the sequence up until the 30th term, we simply need to multiply each succeeding value by 2.
5th term = 1.6
6th term = 3.2
7th term = 6.4
8th term = 12.8
9th term = 25.6
10th term = 51.2
11th term = 102.4
12th term = 204.8
13th term = 409.6
14th term = 819.2
15th term =1,6384.2
16th term = 3,276.8
17th term = 6,553.6
18th term = 13,107.2
19th term = 26,214.4
20th term =52,428.8
21st term = 104.857.6
22nd term = 209.715.2
23rd term = 419,430.4
24th term = 838,860.8
25th term = 1,677,721.6
26th term = 3,355,443.2
27th term = 6,710,886.4
28th term = 13,421,772.8
29th term = 26,843,545.6
30th term = 53,687,091.2