23 and 29 are the only 2 prime numbers from 20 to 30
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
The answer of x=7, because 7+2=9
Answer:
−x4−3x3−21x2−49x−6
--------------------------------
x2
Step-by-step explanation:
if you have more problems search up algebra calculator
Hello!
The range of a function is all the y values it spans.
In this case, we are presented an equation y = -|x|. We can figure out the range from this information. For now, let's look at the parts individually.
The | | indicates absolute value. Absolute value is the distance a number is from 0. For example, the absolute value of -3, or |-3|, would be 3, as -3 is 3 away from 0. From only absolute value, the range would be y is greater than or equal to 0, as all numbers are a positive number away from 0.
Now, add the negative symbol. This means that the always positive result of the absolute value would become always negative. This, therefore, gives us our final solution - y is less than or equal to 0.
Therefore, your answer is the second choice, or y ≤ 0.
Hope this helps!