All categories

2 years ago

-2, 5, 12, 19,... write the recursive rule for each sequence

Mathematics

2 answers:

quester [9]2 years ago

6 0

-2+7=5
5+7=12
12+7=19 so,
7n-9

Delvig [45]2 years ago

6 0

a(1) = -2< -------the 1st term is -2

recursive formula: a(n) = a(n-1) + 7) < --- adding 7 to the previous term

a(2) = a(1) + 7 = (-2) + 7 = 5

a(3) = a(2) + 7 = 5 + 7 = 12

a(4) = a(3) + 7 = 12 + 7 = 19

You might be interested in

A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d

lozanna [386]

$A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}$

4 0

3 years ago

Find the sum.

hichkok12 [17]

Answer:

C - 19/24

Step-by-step explanation:

Take the fractions and put the denominators into a common factor

$\frac{1}{3}+ \frac{1}{3}+ \frac{1}{8}$

$\frac{8}{24}+ \frac{8}{24}+ \frac{3}{24}$

Add Numerators Across

$\frac{16}{24}+ \frac{3}{24}$

$\frac{19}{24}$

8 0

2 years ago

Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9

Tems11 [23]

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)

3 0

3 years ago

288,500 house with a 30 yr mortgage and 3.25% interest rate is

Murljashka [212]

A good deal on the mortgage I suppose. A bit expensive, but if you have the money go for it.

5 0

3 years ago

Help!! What is 78,400,000 expressed in scientific notation?

Ludmilka [50]

It's b the number multiplied by 10 must be less than 10

6 0

2 years ago