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denpristay [2]
3 years ago
15

Write down in terms of n, an expression for the nth term of the following sequences: 1,8,15,22,29

Mathematics
2 answers:
hjlf3 years ago
7 0

Step-by-step explanation:

t1 = 1 = 7*1 - 6

t2 = 8 = 7* 2 - 6

t3 = 15 = 7 * 3 - 6

t4 = 22 = 7 *4 - 6

t5 = 29 = 7 * 5 - 6

-------------------------

Tn = 7n - 6

Crank3 years ago
6 0

Step-by-step explanation:

t1 = 1 = 7*1 - 6

t2 = 8 = 7* 2 - 6

t3 = 15 = 7 * 3 - 6

t4 = 22 = 7 *4 - 6

t5 = 29 = 7 * 5 - 6

-------------------------

Tn = 7n - 6

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Two stockings have different amounts of candy canes. The girl said to the boy, "if I give you one of my candy canes, we'll have
liubo4ka [24]

9514 1404 393

Answer:

  • girl: 7
  • boy: 5

Step-by-step explanation:

Let g and b represent the numbers of candy canes the girl and boy have, respectively.

  g -1 = b +1 . . . . . . girl gives to boy, they're equal

  g +1 = 2(b -1) . . . . boy gives to girl; she has double

Adding 1 to the first equation gives an expression for g that can be substituted into the second equation.

  g = b +2

  (b +2) +1 = 2b -2

  5 = b . . . . . . . . . . add 2-b, simplify

  g = 5+2 = 7 . . . . . find g

The girl has 7 candy canes; the boy has 5.

8 0
2 years ago
Bess drew a rectangular prism that is 12 units long, 8 units wide, and 13 units tall. What is the volume of the rectangular pris
Katena32 [7]

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units

5 0
3 years ago
How many lines of symmetry does this figure have?
Sergeeva-Olga [200]

Answer:

2

Step-by-step explanation:

There are two lines of symmetry and here I list them:

1) The first is a horizontal line that divides the square in to even parts such that the top part is the projection of the down one trough the symmetry line (and vice versa).

2) The second one is the vertical line that divides the square in two even sides. Note that this line will also divide both stars at half. The left side will be projected on the right one (and vice versa) trough the symmetry line.

A third line could be thought to be a diagonal between opposite vertices, but notice that the stars projection won't by symmetric in this case.

So, we only have 2 symmetry lines.

4 0
2 years ago
What is the unit rate of $3.49 of cupcakes
Juli2301 [7.4K]
That's it? How many cupcakes
3 0
3 years ago
Read 2 more answers
What is the solution set of x2 + 5x + 1 = 0?
DerKrebs [107]

Answer:

\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}

Step-by-step explanation:

x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}

\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}

3 0
3 years ago
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