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
Answer:
1 to 1
Step-by-step explanation:
function f in more than one point, then the function is 1 to 1
Answer:
must be greater than 7
Step-by-step explanation:
using pythagoras theorem
a^2=b^2-c^2
x^2=15^2-12^2
x^2=225-144
x^2=81
take square root both sides
√x^2=√81
x=9
and 9 is greater than 7
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
m = slope
(-3,-1) = (x,y)
<em>Plus in the coordinates</em>
-1 = -2/3(-3) + b
<em>negative times negative = positive</em>
-2/3 * -3 = 2
-1 = 2 +b
<em>Use inverse operations</em>
-2 --2
-3 = b
y = -2/3x - 3
