Answer:
is the nth term of the given sequence.
Step-by-step explanation:
The sequence given is

We can clearly see that 1st term is
and 2nd term is
2nd term is obtained by multiplying the 1st term by 2.
2nd term is
and 3rd term is 1.
3rd term is obtained by multiplying the 2nd term by 2.
3rd term is 1 and 4th term is 2.
4th term is obtained by multiplying the 3rd term by 2.
Clearly, the given series is a <em>Geometric Progression(GP)</em> with
First term, 
Common Ratio,
We know that
term for a GP is:

Putting values of <em>a</em> and <em>r</em>

Hence,
is the nth term of the given sequence.
Answer:
A) To plot equations in point-slope form, pick one and let x = 0, then solve for y (or -4). That gives you point 1 (0,-4). Then let y = 0 and solve for x (or 2/3). That gives you a second point (2/3,0). Plot the two points and draw the line. Repeat for the second equation (points are (0,-3) and (3/5,0)). Where the lines cross is the solution for both equations.
B) point (1,2) fits both equations.
Step-by-step explanation:
Or solve by brute force...
The solution is where the same X,Y point fits both equations, or Y1 = Y2 and X1 = X2. So the equations in point-slope form (already in point-slope form) equal to each other, solve for X and plug that back into either of the equations to find Y.
6X - 4 = 5X -3
X = 1 so
y = 6X - 4
Y = 6 - 4
Y = 2
<span>-4x<-12
4x > 12
x > 3
answer
x > 3 </span>
Answer:
there is 3 vowels
Step-by-step explanation: