All categories

3 years ago

What is the sum of the geometric series in which a1 = −5, r = 3, and an = −405?

Mathematics

1 answer:

marysya [2.9K]3 years ago

3 0

An = a1 * r^(n-1)

-405 = -5*3^(n-1)

3^(n-1) = 81

3^4 = 81 so n-1 = 3 and n = 4

Sn = S4 = -5 (1 - 3^4) / ( 1 - 3) = 400 / -2 = -200 Answer

You might be interested in

A bag has 4 red balls and 4 balls, what is the probability of getting a red ball randomly.

Mkey [24]

Answer:

1/2

Step-by-step explanation:

4/8 are red. If you simplify that you get 1/2.

8 0

3 years ago

(5x + 7)(5x – 7) Foil method

Pavlova-9 [17]

Answer:

25x-49

Step-by-step explanation:

5x×5x=25x 5x×-7= -35x

7×5x=35x 7×-7=-49

(combine like terms)25x+-35x+35x= 25

hope that helped you!

6 0

2 years ago

1. Which is the best definition of a proper fraction?

Tju [1.3M]

Answer:

C. A Fraction whose Numerator is smaller than the denominator

Step-by-step explanation:

A proper fraction is a fraction whose numerator is smaller than its denominator.

An improper fraction is a fraction whose numerator is equal to or greater than its denominator.

Example:

3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

3 0

2 years ago

PLEASE HURRY AND HELP NOW !! PLEASE

ollegr [7]

Answer:

1. B

2. A

Step-by-step explanation:

I've done this before, very easy.

6 0

2 years ago

Vincent’s Hotel currently pays a $2.20 common stock dividend. Dividends have been recently growing at a 3% annual rate and are e

Lerok [7]

Answer:

The current value of Vincent's Hotel common stock is US$ 12.95, that fulfills the requirement of an investor of 17% of rate of return annually.

Step-by-step explanation:

1. Let's review the information given for answering correctly the question:

Currently common stock dividend = US$ 2.20

Annual growth of the dividend for the next 2 years = 3%

Annual growth of the dividend after the next 2 years = 0%

2. What is the current value of Vincent’s Hotel common stock to an investor requiring 17% rate of return?

17% = 0.17

Current value of Vincent's Hotel common stock = 2.20/0.17

Current value of Vincent's Hotel common stock = US$ 12.95

8 0

3 years ago

Read 2 more answers