All categories

3 years ago

In a geometric sequence, a2=108 and as 256. Write the explicit formula for this sequence.

Mathematics

2 answers:

torisob [31]3 years ago

8 0

Answer:

The first choice is correct.

Step-by-step explanation:

First work out the common ratio r:-

a2 = a1r and a5 = a1 r^4

So r^3 = a1r^4 / a1r = 256/ 108

r = cube root (256/-108) = 4/3

So the explicit formula is 108(4/3)^(n-1)

mariarad [96]3 years ago

4 0

Answer:

C. 81[-4/3]^n-1

Step-by-step explanation:

You might be interested in

Rewrite the expression with rational exponents as a radical expression.

Alik [6]

Answer:

$\displaystyle 4\sqrt[7]{x^3}$

General Formulas and Concepts:

Algebra I

Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 4x^\bigg{\frac{3}{7}}$

Step 2: Rewrite

Split: $\displaystyle 4(x^\bigg{\frac{1}{7}})^3$
Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle 4\sqrt[7]{x^3}$

3 0

3 years ago

What are the values of a and b? Select one: a. a equals 18 comma space b equals 4 square root of 5 b. a equals 64 comma space b

OleMash [197]

Answer:

a is a value of 5 and b is is equal to 9

Step-by-step explanation:

all you have to do is get 16 and 4 by them self and take them out, and find the remaining numbers

3 0

3 years ago

How do you solve 28-2.2x=11.6x-54.8??

malfutka [58]

28 - 2.2x = 11.6x - 54.8
28 + 54.8 = 11.6x + 2.2x
82.8 = 13.8x
82.8 / 13.8 = x
6 = x
or x = 6

6 0

3 years ago

In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T

lawyer [7]

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = population of the city in 2015

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = population of the city in 2020

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

4 0

2 years ago

A tree casts shadow 26 ft long. A 3 ft tall flowers casts a shadow 4 ft long. How tall is the tree?

Rufina [12.5K]

Answer:

19. 5 feets

Step-by-step explanation:

Shadow of tree = 26 feets

Height of flower = 3 feets

Shadow of flower = 4 feets

Height of sun Innthe sky:

Shadow of flower / height of flower

= 4/3 = 1.333333

Height of tree:

Shadow of tree / height of sun

26 feets / 1.33333

= 19.5 feets

Hence, height of tree = 19.5 feets

5 0

3 years ago