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This arithmetic sequence has a common difference of 4, meaning that we add 4 to a term in order to get the next term in the sequence.
The recursive formula for an arithmetic sequence is written in the form
For our particular sequence, since the common difference (d) is 4, we would write
So once you know the common difference in an arithmetic sequence you can write the recursive form for that sequence.
However, the recursive formula can become difficult to work with if we want to find the 50th term. Using the recursive formula, we would have to know the first 49 terms in order to find the 50th. This sounds like a lot of work. There must be an easier way. And there is!
Rather than write a recursive formula, we can write an explicit formula. The explicit formula is also sometimes called the closed form. To write the explicit or closed form of an arithmetic sequence, we use
<span><span>an</span> is the nth term of the sequence. When writing the general expression
for an arithmetic sequence, you will not actually find a value for
this. It will be part of your formula much in the same way x’s and y’s
are part of algebraic equations.
a1
is the first term in the sequence. To find the explicit formula, you
will need to be given (or use computations to find out) the first term
and use that value in the formula.
n is treated like the variable in a sequence. For example, when writing the general explicit formula, n is the variable and does not take on a value. But if you want to find the 12th term, then n does take on a value and it would be 12.
d is the common difference
for the arithmetic sequence. You will either be given this value or be
given enough information to compute it. You must substitute a value for d
into the formula. </span> You must also simplify your formula as much as possible. </span>
X1=-2 and x2=0
We need to find y1 and y2 so
F(-2)=2^(-2+2)+1=2
The point(x1,y1)=(-2,2)
F(0)=2^(0+2)+1=5
The point(x2,y2)=(0,5)
Now, calculate the average rate of change (slope):
m = (y2 – y1) / (x2 – x1) =(5-2)/(0-(-2))
m=3/2
The answer is c
Hope it helps
a right angle is 90°, or 1/4 of a circle.
3/5 * 1/4 = 3/20
radian measure is the length of the circumference of this part of the circle.
a full circumference of a circle would be 2*pi*r, also expressed as 2 rad * r
now let's multiply the full thing with the 3/20 from earlier to just get the desired fraction:
6/20 rad * r
<u>= 3/10 rad * r</u>
of course a solution in cm or inch still depends on the radius here, wich could be just plugged in at will
Answer:
c/8
Step-by-step explanation:
Look like B to me
It cant be C which has a negative slope.