Let
be the number of towns Chase builds. Each town contributes a factor of 1.13 to the number of villagers, so if
is the number of villagers, and Chase starts with
villagers, then

For example, if he builds
town, then his empire can support
villagers. (Round down to the nearest villager.) Adding another town scales this up by 1.13, giving
. And so on.
Then with
towns, he would be able to support
villagers.
To explain this to Chase, you can describe recursively how each additional town affects the number of villagers:



and so on, giving the general rule

same as we found earlier.
Your error is in thinking that you need to apply the geometric sum formula. It's not useful here.
X^2+1x-12 is the answer hope it helped
8 is in the ones place so 8 ones.
The correlation coefficient of a scatter plot with line of best fit shown will be the slope of the line.
We can eliminate last 2 choices because the line is clearly a downward sloping line and it's slope wont be positive.
From the first two, it looks like the plot's slope is very close to -1. So we take -0.91, instead of -0.35. <em>[note: 0.91 is more steeper than 0.35 (which is very relaxed)]</em>
ANSWER: -0.91