The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒ 
So ,Sum of first 12 terms is :
⇒ 
⇒ 
⇒ 
⇒ 
Now , nth term of a GP is
⇒ 
So , 20th term is :
⇒ 
⇒ 
⇒ 
Therefore , the first term is 2 and the 20th term is 1048576 .
Ok so for this question, you have to draw a graph to help. I'm doing the numbers by 2. You plot the points (21,32) on the graph then after that plot the points by the slope. What I'm trying to say by that is: 1.5 as a fraction is 3/2. so you count from that point by going 3 numbers up (or squares if on a graph if it makes more sense) then count 2 squares to the right and you continue doing that after every point you make (if there's no space to go up the graph the n you can go down by just counting 3 down then counting 2 to the LEFT)
I don't have graph paper on me so I can't really tell you the y-intercept because it might be not accurate (thats the number after the slope or "b" in the formula y=mx+b) How to find that is: when you follow the steps above you're going to hit the y-axis (vetical line) when you have an exact point hitting the y-axis (it should be right on that line ) then that's your number
Equation: y=1.5x+ (insert y-axis number here)
The coordiantes of another point is on the line (u can pick any)
2/3 + 1/4 .....common denominator is 12
8/12 + 3/12 =
11/12 <==
Combine like terms:
3 x 2 - 2x + 7 - 57 - 4x + 10
-34 - 6x
Answer:
(14,-4)(-4,-4)
Step-by-step explanation:
5+9=14
5-9=-4
