Answer:
The situation represents the arithmetic sequence
Step-by-step explanation:
∵ The cost of the first night is $240
∵ The cost of each night after the first is $210
∵ The number of nights is x
∵ The total cost of staying at the hotel x nights is y
∴ y = 240 + 210(x - 1)
Put x = 1 , 2 , 3, 4 and then check the type of the sequence
∴ y = 240 + 210(1 - 1) = 240
∴ y = 240 + 210(2 - 1) = 450
∴ y = 240 + 210(3 - 1) = 660
∴ y = 240 + 210(4 - 1) = 870
∵ The difference between each two consecutive terms are constant
(450 - 240 = 210 , 660 - 450 = 210 , 870 - 660 = 210)
∴ The sequence is arithmetic sequence
Answer:
if there is 4 students then each student gets about 4 1/2 cups of sugar.
Step-by-step explanation:
3+4+5+6=18
18/4=4.5
<h2><u>Part A:</u></h2>
Let's denote no of seats in first row with r1 , second row with r2.....and so on.
r1=5
Since next row will have 10 additional row each time when we move to next row,
So,
r2=5+10=15
r3=15+10=25
<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>
r1=5=5+0=5+0×10=5+(1-1)×10
r2=15=5+10=5+(2-1)×10
r3=25=5+20=5+(3-1)×10
<u>So for nth row,</u>
rn=5+(n-1)×10
Since 5=r1 and 10=common difference (d)
rn=r1+(n-1)d
Since 'a' is a convention term for 1st term,
<h3>
<u>⇒</u><u>rn=a+(n-1)d</u></h3>
which is an explicit formula to find no of seats in any given row.
<h2><u>Part B:</u></h2>
Using above explicit formula, we can calculate no of seats in 7th row,
r7=5+(7-1)×10
r7=5+(7-1)×10 =5+6×10
r7=5+(7-1)×10 =5+6×10 =65
which is the no of seats in 7th row.
Answer:
A
<em>Hope that helps!</em>
Step-by-step explanation:
