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Makovka662 [10]

3 years ago

12

These are the first six terms of a sequence with a1= - 3: - 3, 8, 19, 30, 41, 52, … Find a recursive formula for this sequence t

hat is valid for n>1. Write your answer in simplest form.

1 answer:

ad-work [718]3 years ago

6 0

Answer:

$a(n+1)=a(n)+11$

Step-by-step explanation:

The difference between two consecutive elements is 11.

$8=-3+11\\19=8+11\\30=19+11\\41=30+11\\52=41+11\\$

Hence $a(n+1)=a(n)+11$

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X,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z

Rama09 [41]

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

$y^2-2=2x+5z\\ (x+2)^2-2=2x+5(x+4)\\x^2+4x+4-2=2x+5x+20$

$x^2+4x+2=7x+20\\x^2+4x+2-7x-20=0\\x^2-3x-18=0\\(x+3)(x-6)=0(x=-3\ or \ x=6)$

so the solutions are

x = 6

y = 8

x = 10

6 0

3 years ago

Read 2 more answers

The area of a rectangular painting is 5/8 square yard. The width is 3/4 yard. What is the length of the painting?

vfiekz [6]

Answer:

The answer is

<h2> $\frac{5}{6} \: \: \: \: yards \\$ </h2>

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length of the rectangle

$length = \frac{area}{width} \\$

From the question

area = 5/8 square yards

width = 3/4 yard

So we have

$length = \frac{5}{8} \div \frac{3}{4} \\ = \frac{5}{8} \times \frac{4}{3} \\ = \frac{5}{2} \times \frac{1}{3}$

We have the final answer as

$\frac{5}{6} \: \: \: \: yards \\$

Hope this helps you

3 0

3 years ago

Ms. Spencer is packing orders for her bath supply business. One customer ordered 8 bath fizzies and 4 jars of sugar scrub. Each

sergey [27]

8 bath fizzes * 5 (ounces) = 40 ounces. 4 jars of sugar scrub * 1.5 (pounds) = 6 pounds. So 6 pound and 40 ounces. (40 ounces = 2.5 pounds. So 8.5 pounds in total.) ( If you want to convert the answer to ounces, 8.5 pounds is 136 ounces.)

8 0

2 years ago

What is the interest you will pay if you borrowed $1,250 at 4% interest for 4 years?

AleksAgata [21]

Answer:

$200

Step-by-step explanation:

The formula for calculating interest = principal x interest rate x time

principal is the amount borrowed = $1250

interest rate = 4%

Time = amount of years the money is borrowed for

$1250 x 0.04 x 4 = $200

8 0

3 years ago

Read 2 more answers

What is the measure of Angle B A C?

Simora [160]

It's 180-50-50=180-100=80°

8 0

3 years ago