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Nana76 [90]
3 years ago
9

Find the 12th and 37th term for each arithmetic sequence.

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

  3.  f(12) = -10; f(37) = -60

  4.  f(12) = -102; f(37) = -352

Step-by-step explanation:

3. Put the numbers in the formula and do the arithmetic:

  f(12) = 12 -2(12-1) = 12 -22 = -10

  f(37) = 12 -2(37-1) = 12 -72 = -60

__

4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

Your sequence has a first term a1=8 and a common difference d=-10.

As above, fill in the numbers and do the arithmetic.

  f(12) = 8 -10(12 -1) = -102

  f(37) = 8 -10(37-1) = -352

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When 5 is added to a set of 3 numbers the mean increases to 4.6. What was the mean of the original 3 numbers?
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<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷  Multiply 4.6 by 4 to get the sum of the numbers after 5 was added:

4.6 x 4 = 18.4

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Subtract 5 from this:

18.4 - 5 = 13.4

Divide this value by 3 to get the original mean:

13.4/3 = 67/15

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3 years ago
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=54°, and VT = 40 feet. Find the length of UV to the nearest tenth of a foot.
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8 0
3 years ago
Read 2 more answers
Find the slope of the<br> line through the<br> points (1,-2) and (-7,4)
horrorfan [7]

Answer:

-3/4

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Equation A: a=5b + 1
lukranit [14]

ANSWER:

a = 11

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Explaination:

We have two equations:

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a = 3b + 5.....................(2)

Here we use substitution method in order to solve the set of equations.

put a=3b+1 to equation (1)

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Solve for b

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3 years ago
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