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beks73 [17]
3 years ago
10

What is the explicit formula for the sequence? -7,-4,-1,2,5

Mathematics
2 answers:
valentinak56 [21]3 years ago
8 0

Answer:

y = -7 + 3(n-1)

Step-by-step explanation:

The basic formula for an explicit formula is:

a_{n} = a_{1} + d(n-1)

The first term is clearly -7 and the common difference is 3 because each term is 3 more than the term before it:

a_{n} = -7 + 3(n-1)

Archy [21]3 years ago
5 0

an =a1+d(n-1)

a1=-7

d= -4--7=-4+7=3

an =-7+3(n-1)

or

an = -7+ 3n-3

an=-10+3n

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ki77a [65]
I'm assuming your allowed to use a calculator for this? That's what I would do.
\sqrt{108}  = 10.39
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
9 \times 20 = 180
180 + 13 = 193
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
\frac{193}{20}  = 9.65
For the third one, just input it into a calculator,
2\pi + 3.4 = 9.68
4 0
3 years ago
Select the correct answer. During the summer, Jody earns $10 per hour babysitting and $15 per hour doing yardwork. This week she
omeli [17]

Answer:

  A.  x + y = 34; 10x + 15y = 410

Step-by-step explanation:

Jody's total hours will be the sum of the hours spent on each job:

  x + y = 34 . . . . . total hours

Jody's total earnings will be the sum of the earnings from each job:

  10x +15y = 410 . . . total earnings

So, the system of equations is ...

  • x + y = 34
  • 10x + 15y = 410
3 0
2 years ago
If 72 males and 108 females responded to your fashion survey, what percentage were females?
Sergio039 [100]
60% is the percentage of the females who responded to the survey.
7 0
3 years ago
In order for RECT to be a rectangle, what must the value of x be?
Readme [11.4K]

Answer:

x = 21

Step-by-step explanation:

If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).

∠RTC = ∠RTE + ∠ETC     Formula for complementary angles

90 = 2x + 6 + 42                Substitute the angles

90 = 2x + 48               Combined like terms to simplify

Now isolate "x" to solve

90 - 48 = 2x + 48 - 48         Subtract 48 from both sides

42 = 2x

42/2 = 2x/2       Divide both sides by 2

x = 21

Therefore x is 21.

6 0
3 years ago
What goes into 8 and 18
Lunna [17]

Step-by-step explanation:

common factor 8 and 18 is 2.

6 0
2 years ago
Read 2 more answers
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