To evaluate the series we proceed as follows:
2. -5,-15,-25,-35,-45
The common difference is (-15--5)=-10
thus the series is an arithmetic sequence hence the explicit formula will be:
an=a+(n-1)d
thus the formula for the series is:
an=-5+(n-1)(-10)
an=-10n+5
4. 0.5, 0.25,0,...,-0.75
The common difference =0.25-0.5=-0.25
The sequence is an arithmetic sequence:
the explicit formula will be:
an=0.5-0.25(n-1)
an=-0.25n+0.75
thus
n=4
a4=-0.25*4+0.75=-0.25
when n=5
a5=-0.25*5+0.75=-0.5
when n=6
a6=-0.25*6+0.75=-0.75
the missing values are -0.25 and -0.5
6] 4.5,5.6,6.7, ....,11.1
common difference=5.6-4.5=1.1
the sequence is an arithmetic sequence
The explicit formula is:
an=4.5+1.1(n-1)
an=1.1n+3.4
when n=4
an=1.1*4+3.4
a4=7.8
when n=5
a5=1.1*5+3.4
a5=8.9
a6=1.1*6+3.4
a6=10
the missing values are: 7.8, 8.9, 10
Answer:
niwebfasfbjsdfb
Step-by-step explanation:
jsdfhsdbfjhadsjbdsfhb
There are 25 acres of apple trees, and 40 acres total. Thus, the probability of him NOT finding an apple tree is 1 - (25/40) = 15/40 = 37.5% or the second choice.
Answer: 3 lessons
Step-by-step explanation:
Matt starts swimming lessons on Day 5.
He then goes to swimming lessons every 10 days. The dates he went on lessons are therefore:
First lesson = Day 5
Second lesson = Day 5 + 10 days = Day 15
Third lesson = Day 15 + 10 days = Day 25
Fourth lesson = Day 25 + 10 days= Day 35
<em>He therefore only went for 3 lessons because the 4th lesson was after Day 30. </em>
Answer:
The value of r is 4
Step-by-step explanation:
In order to find the value of r, you need to get rid of denorminator. By multiplying 4 to both sides:
(r/4)×4 = (60/120)×4
r = (1/2)×4
= 2
