Question

help please!!
The table shows the population, p, of mice in a field at the end of m months.

Time,m,:0,1,2,3,4

population,p,:6,12,24,48,96

Based on the data in the table, what will be the population of mice in the field at the end of 8 months?

F 192

G 3,072

H 1,536

J 256

Answer 1

its a geometric progression
an = ar^(n-1)
a= 6
r = 2
n = 8

Answer 2

i got 12^7?

Answer 3

and then find the sum
\[\sum_{i=0}^{i=n} (ar ^{n}) = a((1-r ^{n})/(1-r))\]

Answer 4

first find 2^ 7
then multiply with 6

Answer 5

ok i got 768

Answer 6

now find the sum by the given formula

Answer 7

ugh now i have 6/7 I'm so sorry thanks for helping i just don't understand this unit

Answer 8

simple way is use calculator and then start from 6 multiply it by 2 then multiply answer by 2 and so on till nine time.

sum = 6(1-(2^8))/(1-2)
= 6(-255)/(-1)
= 6*255 = 1530

Answer 9

thank you so much

Answer 10

mention not