12 is the answer because when you add the green and blue you get 5 and 5×4= 20 so you multiply the blue by 4 and the green by 4 and add them together which = 20. so 3×4=12 and 2×4=8 so your answer is again 12
X = 3 that is you x intercept
y = 2 that is your y intercept
We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.
The nth term of this geometric series is a_n = 2(7)^(n-1).
Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.
What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />
Answer:
n= 1/2 (
) or (0.5)
AND
n= -3/2 (
) or (-1.5)
Step-by-step explanation:
4n^2+4n=3
step1: move 3 to the other side and make the equation equal to zero.
4n^2+4n-3=0
step2: factorise the equation.
(2n-1)(2n+3)=0
step3: make each bracket equal to zero.
2n-1=0
2n+3=0
step4: solve for n values.
<u>1.</u> 2n-1=0
(add 1 for both sides)
2n=1
(divide by 2 for both sides)
n= 1/2 (
) or (0.5)
<u>2.</u> 2n+3=0
( subtract 3 for both sides)
2n=-3
(divide by 2 for both sides)
n= -3/2 (
) or (-1.5)
You can multiply 0.129 and 0.3 by 10 each to make it a little easier to see what to do.
0.129 / 0.3 = 1.29 / 3
Simple long division will take you to 0.43