hours |
bacteria alive |
difference |
1 |
(10-3)*2 = 14 |
|
2 |
(14-3)*2 = 22 |
22-14 = 8 |
3 |
(22-3)*2 = 38 |
38-22 = 16 |
4 |
(38-3)*2 = 70 |
70-38 = 32 |
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.
.
.
|
|
|
from above table we found that
after 2 hours bacteria = 14 + 23 = 22
after 3 hours bacteria = 14 + 23 + 24 = 38
after 4 hours bacteria = 14 + 23 + 24 + 25= 70
.
.
.
so after k hours bacteria = 14 + 23 + 24 + 25 + ........ + 2k+1
put value of k as 24
baacteria = 14 + 23 + 24 + 25 + ........ + 225
= 7 + 1 + 2 + 22 + 23 + 24 + 25 + ........ + 225
= 7 + 226 - 1
= 226 + 6