1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dem82 [27]
2 years ago
14

What is the sum of the geometric sequence 1, 4, 16,

Mathematics
1 answer:
Luda [366]2 years ago
4 0

Answer:

The sum of geometric sequence:

S n = a 1 * ( q^n - 1 ) / ( q - 1 )

where:  a 1 = 1,

q = a 2 : a 1 = 4 : 1 = 4

S 8 = 1 * ( 4^(8) - 1 ) / ( 4 - 1 ) =

= ( 65,536 - 1 ) / ( 4 - 1 ) = 65,535 / 3 = 21,845

You might be interested in
Sin 3pi divided by 4
KATRIN_1 [288]
Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence

Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:

[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
6 0
3 years ago
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amo
Veronika [31]

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

$7.50 = amount paid for a customer choosing a competitor

p = number of customers

6 0
2 years ago
Read 2 more answers
The perimeter of a​ standard-sized rectangular rug is 4040 ft. the length is 22 ft longer than the width. find the dimensions.
Nataly_w [17]
L = w+22

2(l+w) = 4040
2(w+22+w) = 4040
2w + 22 = 4040/2 = 2020
2w = 2020-22 = 1998
w = 999ft

l = w+22 = 999+22 = 1021ft
w = 999 ft
3 0
2 years ago
8.2<br> 5. In a '70% off' sale, a hat was £33.60.<br> Work out the original price.
Aleks [24]

100% - 70% = 30%

30% of what = £33.60?

Let p = original price

0.30p = 33.60

p = 33.60 ÷ 0.30

p = £112

3 0
3 years ago
10/6=15/x solve for x
Basile [38]
I believe that x=9. I used cross multiplication. First, I multiplied 6 by 15. Second, I divided this product of 90 by 10. The quotient is 9.
8 0
3 years ago
Other questions:
  • Suppose a laboratory has a 30 g sample of polonium-210. The half-life of polonium-210 is about 138 days How many half-lives of p
    9·2 answers
  • Car travels 35 1/2 miles on 1 1/4 gallons of gas. What is the unit rate for miles per gallon ?
    9·1 answer
  • Compare 5.7145... and √29
    6·1 answer
  • A spinner is divided into three equal sections labeled 1, 2, and 3. Another spinner is divided into four equal sections labeled
    5·2 answers
  • Thor and Zeus strike with their hammers. The higher they raise their hammers before they strike, the louder the sound of the str
    8·1 answer
  • What is 21 grains to grams?
    14·1 answer
  • Which function represents the data
    5·2 answers
  • Y=4.5x+13.45 y=6x-4.55
    13·1 answer
  • Consider the first six terms<br> in the sequence -11,-4, 3, 10, 17,24
    12·1 answer
  • Line segment YV of rectangle YVWX measures 24 units.What is the length of line segment YX?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!