Answer: f(7) = f(4) + 3(3) = 15 + 9 = 24
Step by Step Explanation:
f(1) = 6
f(n) = f(n-1) + 3
f(2) = f(1) + 3 = 6+3 = 9
f(3) = f(2) + 3 = 12
f(4) = f(3) + 3 = 15
Each term is 3 more than the previous one
Therefore to get from the 4th term to the 7th term you will add 3
For a total of 3 more times.
f(7) = f(4) + 3(3) = 15 + 9 = 24
Hope this helps
<h3>
Answer: 12 inches</h3>
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Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
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Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
Answer:
52 years.
Step-by-step explanation:
Represent my current age by c. Then 400 - 2c = 296, or
104 = 2c
Then c must be 104/2, or 52 years.
Answer:
32
Step-by-step explanation:
hence, the common ratio of the given G.P. is 3 or −3.
