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Sunny_sXe [5.5K]
3 years ago
6

Please help me!! 10 points!!

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

Step-by-step explanation:

a = 9*2.5= 22.5

b= 34/2.5=13.9

c= 7*7=49

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what is the first term of a geometric sequence in which the second term is 6 and the fourth term is 54
IRISSAK [1]
For a geometric sequence:
U_{n} = a * r^{n - 1}
U_{n} = the nth term, i.e. U₂ is the second term, U₃ is the third term, etc.
a = first term (U₁)
r = multiplier
n = number corresponding to the postion of the nth term in the sequence, e.g. for U₂, n = 2, for U₃, n = 3

According to the information:
U₂ = 6
U₄ = 54
So:
U_{2} = a * r^{(2) - 1} = 6 \\\\ a * r^{1} = 6 \\\\ ar = 6 \\
U_{4} = a * r^{(4) - 1} = 54 \\\\ a * r^{3} = 54 \\\\ ar^{3} = 54
Now, we have two equations in terms of a and r;
We can work out a by first working out r;
If we let the U₂ eq'n be [1] and the U₄ eq'n be [2];
Then, we do [2] ÷ [1] to cancel out the a and get an equation with only r that we are able to solve and then just solve it, like so:
\frac{ar^{3}}{ar} =  \frac{54}{6} \\\\ r^{2} = 9 \\\\ r = 3
Note: r has to be 3, and not -3, as the two given terms of the sequence tell us that the terms of the sequence will get bigger from each term to the next so r has to be above 1.

Now that we know r, we can sub it back into either [1] or [2] and solve for a, Its quicker and easier to sub it into [1] as we have no powers greater than 1 and we have smaller numbers to deal with (but you would get the same value of a either way), so:
U₂ = ar = 6
a(3) = 6
a = 6/3
a = 2
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3. Is the triangle a right triangle?
dem82 [27]

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Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did
GuDViN [60]

Answer:

3

Step-by-step explanation:

24 divided by 6 is 4, subtract Doug, there were 3 friends

4 0
2 years ago
Please help me with 1-4​
Anna35 [415]

Answer:

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8 0
2 years ago
How do i rearrange mx+n=px+q to get x?
Mice21 [21]

Answer:here's ur answer

Step-by-step explanation:

6 0
3 years ago
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