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lara31 [8.8K]
3 years ago
15

The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the

nth term​
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

the first term is a1

the distance between the numbers is d

we have:

a5 = a1 + 4d = 23

a12 = a1 + 11d = 72

so we have the equation:

a1 + 4d = 23

a1 + 11d = 72

=> a1 = -5

d = 7

=> an = -5 + 7(n - 1) = 7n - 12

with an = 7n - 12

=> a2 = 2

a3 = 9

so the first three terms is -5; 2; 9

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Sure yes.

1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3),  which is all the real numbers.

2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).
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3 years ago
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alexandr402 [8]

Answer:

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Step-by-step explanation:

The equation to this question can be written as 5/6 + 5/6 + 5/6 or 5/6 x 3.

To multiply 5/6 by 3, we can set it up as \frac{5}{6} * \frac{3}{1}. Now to multiple, we just multiply straight across. We do 5 * 3 over 6 * 1 to get 15/6. Now, all we have to do is simplify the fraction. 6 goes into 15 two times, so we know they ate 2 pizzas. Now we are left with 3/6. 3/6 can be rewritten as \frac{1}{2}. In total, they ate 2 \frac{1}{2} pizzas.

Hope this helps!

6 0
3 years ago
A square coaster has a side length of 512 feet on each side.
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Please help asap will give brainliest
myrzilka [38]

Answer:

of course three units ..

8 0
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