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:
Step-by-step explanation:
In logarithmic functions, if we have an exponent say the 
in 
, we can "pull it down" from the power and multiply it next to the log.
In sequences 1,7,13,19, ...., each number is 6 more than the number before it. In the sequences 1,9,17,25,...., each number is 8
butalik [34]
Answer:
I think 17, but I'm not sure.
Step-by-step explanation:
here's what I think.
So I don't know how to write it, but I got this,
14 + 2 + 1
Answer and Step-by-step explanation
2, -4, 6, -8, 10, -12, 14, -16
These are the next three numbers in the pattern :-12, 14, -16
The area of a circle with respect to its diameter is:
A=(πd^2)/4
If he plants roses in every other section, there will be half of the area remaining, so half of the area of the circle is:
A=(πd^2)/8, since d=8:
A=(64π)/8 m^2
A=8π m^2 and if you want an approximation:
A≈25.13 m^2 (to nearest hundredth of a square meter)
