To isolate the variable q, divide both sides by 3:
q3 ÷ 3 = 64 ÷ 3
q = 21.33 or 21 1/3
If the q is cubed(I can't really tell), however, you would use the cube root:
³√q³ = ³√64
q = 4
Answer:
the answer is x=5 for a fact
Step-by-step explanation:
Answer:
<h3>1</h3>
Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
<em>Hence the common ratio of the exponential sequence is 1</em>
Answer:
$1.09
Step-by-step explanation:
Henry: 16 increase 9% =
16 × (1 + 9%) = 16 × (1 + 0.09) = 17.44
Ella: 17 increase 9% =
17 × (1 + 9%) = 17 × (1 + 0.09) = 18.53
Difference: 18.53 - 17.44 = 1.09
You should send a clearer picture. I have problems reading this.
