You can try to show this by induction:
• According to the given closed form, we have 
, which agrees with the initial value <em>S</em>₁ = 1.
• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume
and
We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or
From the given recurrence, we know
so that
which is what we needed. QED
Jeremy and Randell are brothers and each are trying to raise money for summer camp.
To help Jeremy raise money, his parents told him he could wash each of their cars once a week for $20.00 each. He has already earned $640.00. The football camp that he wants to attend costs $1,469.00.
To help Randell raise money, his parents told him he could mow the grass for them and both sets of grandparents once every 2 weeks and earn $28.00 for each lawn he mows. He has already earned $728.00. The lacrosse camp that he wants to attend costs $1,701.00.
If Jeremy and Randell each earn enough money to attend the camps of their choice, then from this point on (randell) needs to complete (idk what would got here) more chores than(jeremy)
is it asking you to fill in the blanks with their names if so i think it would be this.
Given: A= 14 ft² and l= 2w-3
formula for area of a rectangle is A=lw
substitute for what you know and simplify:
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2
subsitute width into equation for length and solve
l=2w-3= 2(7/2)-3= 4
width: 3.5 ft
length: 4 ft
For this fraction, you would have to see how many times 7 goes into 47. So, 6 times as 7 times 6 is 42. Subtract 42 from 47, and this would be your remainder:
6
