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>
The sum of all angles in an octagon is given by
180*(n-2) >>>>>>>>>with n = 8
180*(8-2) = 1080 degrees
A + B = 1080 .......where
A is the <span>angle of an octagon which is twice that of the other seven angles
</span><span>
B equals the sum of the other seven angles
If we assume each angle of B is equal to each other, then
B = x+x+x+x+x+x+x = 7x
</span>
And A = 2x
The equation that results is
A + B = 2x +7x = 9x =1080
x = 120 degrees
2x = A = 240 degrees
Answer:
4x -4 24
Step-by-step explanation:
Remember distribution, 4 × x then 4 x -6
Answer:
If her sister is 34 then Kelly will have to be 28
