Answer:
Number of boys in 7th grade=34 boys
Number of girls in 7th grade=51 girls
Step-by-step explanation:
Total Number of students in 7th grade=Number of boys+Number of girls
where;
Total number of students in 7th grade=85 students
Number of boys=x
Number of girls=(1 1/2)×Number of boys=(3/2)×x=1.5x
Replacing;
85=x+1.5x
2.5x=85
x=85/2.5
x=34
Number of boys=x=34
Number of girls=1.5x=1.5×34=51
Number of boys in 7th grade=34 boys
Number of girls in 7th grade=51 girls
This generates the recurrence relation
Because you have
it follows that
for all
.
For
, you have
so that, in general, for
,
, you have
Now, for
, you have
and so on, with a general pattern for
,
, of
Putting everything together, we arrive at the solution
To show this solution is sufficient, I've attached is a plot of the solution taking
and
, with
. (I was hoping to be able to attach an animation that shows the series solution (orange) converging rapidly to the exact solution (blue), but no such luck.)
Answer:6.4
Step-by-step explanation:
Column 1 Column 2
hiking 3
mountain biking 1.45
horseback riding 1.2
cross-country skiing 0.75
3+1.45+1.2+0.75=6.4
Answer:
200
Step-by-step explanation:
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What is your favorite flavor of ice cream