All categories

3 years ago

Consider the geometric sequence 16, 8, a, 2, b, ... (a) Write down the common

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

Find the common ratio by dividing.

16 / 8 = 2

8 / a = 2

2 / b = 2

The common ratio is 2.

Since we need to find the values of a and b, use the common ratio to solve for them.

8 / 2 = 4 (a)

2 / 2 = 1 (b)

Now, we know that first 5 terms.

We can solve for the 8th term using the previous terms and the common ratio.

6th term: 1 / 2 = 0.5

7th term: 0.5 / 2 = 0.25

8th term: 0.25 / 2 = 0.125

Part A: 2

Part B: a = 4, b = 1

Part C: 0.125

Best of Luck!

You might be interested in

A lake covers a surface area of about 20,000 square miles.

trapecia [35]

Step-by-step explanation:

2×1000¹⁰

hope this helps

4 0

3 years ago

(p+q)2-(5-5) p=1 q=1

valkas [14]

Answer:

The answer is 4

Step-by-step explanation:

Solve:

p = 1

q = 1

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

= 2+2 -5 +5

= 4

Make sure to give me brainliest answer!

6 0

3 years ago

Read 2 more answers

The figure below shows a shaded rectangular region inside a large rectangle:

SSSSS [86.1K]

Answer:

Step-by-step explanation:

The formula for determining the length of a rectangle is expressed as

Area = length × width

The large rectangle has a length of 10 units and width 5 units. The area of the large rectangle would be

10 × 5 = 50 units²

Inside this rectangle is a smaller rectangle of length 4 units and width 2 units. The area of the smaller rectangle would be

4 × 2 = 8 units²

Probability is expressed as favorable outcome/total number of possible outcomes

The region that is not shaded grey is

50 - 8 = 42 units²

The probability that a point chosen inside the large rectangle is not in the shaded region is

42/50 = 0.84

Converting to percentage, it becomes

0.84 × 100 = 84%

5 0

2 years ago

3x+4y=11 x-2y=2 solve the system of equations

Ghella [55]

Answer
4.667

Step by step explanation

1.1 Solve 14x-3y+2=0

8 0

3 years ago

PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba

kupik [55]

Answer:

Slope of the function is $=3.75$ ,Y-intercept $=20$ .

The function is $y=3.75(x)+20$ with initial value $=20$ ,Jordan puts $\$3.75$ each week andthe amount saved by Jordan after $52$ week $=215\$$ .

Step-by-step explanation:

To understand the slope and y-intercept lets assign $x$ as number of weeks and $y$ as the money saved by Jordan.

Jordan is already having a sum of $\$20$ inside the money bank so in $0$ week the amount is $\$20$ can be written as $(x,y) =(0,20)$ in coordinate form.

SImilarly

We have $(x,y) =(0,20)$ and $(x_1,y_1) =(25,113.75)$

Part A:

The function is $y=m(x)+b$

From point-slope form,we have slope (m)

and $m=\frac{y_1-y}{x_1-x}$ ,plugging the values of the points.

$m=\frac{113.75-20}{25-0}=3.75$

Y-intercept of this function is the constant term or the money of $\$20$ that is already inside the money bank.

We can also calculate y-intercept by arranging the function as $b=y-m(x)$ choosing any $(x_1,y_1) = (25,113.75)$ coordinate and here $b$ is the y-intercept.