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
Elden [556K]
2 years ago
11

What is the 8th term of the geometric sequence 4, -20, 100, ...?

Mathematics
1 answer:
Masja [62]2 years ago
7 0

Answer: Choice A) -312,500

=====================================

The long way to find the answer is to multiply each term by -5 until you've generated 8 terms total.

4 is the first term

-20 is the second term (4 times -5 = -20)

100 is the third term (-20 times -5 = 100)

100 times -5 = -500 which is the fourth term

-500 times -5 = 2500 which is the fifth term

2500 times -5 = -12500 which is the sixth term

-12500 times -5 = 62500 which is the seventh term

62500 times -5 = -312500 which is the eigth term

---------------------

A shortcut is to use the formula below

a(n) = a*(r)^(n-1)

Plug in a = 4, r = -5 and n = 8

a(n) = a*(r)^(n-1)

a(8) = 4*(-5)^(8-1)

a(8) = 4*(-5)^7

a(8) = 4*(-78125)

a(8) = -312,500

and we get the same answer

You might be interested in
5x - (x + 3)= 1/3 (9x + 18) - 5
telo118 [61]
1/3(9x) =3x
1/3(18) =6

3x+6-5

Then you do
-(x)=-x
-(3)=-3

5x-x-3 = 4x-3

4x-3=3x+6-5
4x-3=3x+1

x=4
4 0
2 years ago
Read 2 more answers
JOD, hele he earns $8 per hour. His employer always rounds up to the nearest quarter of an hour. For example, if
Nesterboy [21]

Answer:

where is the question at?

3 0
2 years ago
3(k − 99) = –60 <br><br>k = ______
MArishka [77]

Answer:

k = 79

Step-by-step explanation:

3(k-99) = -60

(k-99) = -20

k= -20+99

k=79

4 0
3 years ago
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

7 0
2 years ago
Read 2 more answers
8&gt;3+t/4 what is the answer​
salantis [7]

Answer:

  1. Subtract 3 from 8.... 5 > t/4
  2. Multiply both sides by 4... 5/4 > t
  3. The answer is t < 5/4

5 0
3 years ago
Other questions:
  • Shannon collects rainwater to water her flowers. She has one bucket with 3.4 gallons of water and another with 1.85 gallons less
    13·1 answer
  • You buy 2 concert tickets. Each ticket costs $45.50. The shipping cost for the whole order is $12.00. Which equation represents
    15·2 answers
  • 2x + y = 10
    8·1 answer
  • 25 multiplied by 3 algebraic expression
    13·1 answer
  • BRAINLIEST ! PLEASE HELP ME :)
    12·1 answer
  • You deposit $7000 into a bank account that has 6% interest compounded SEMIANNUALLY. Determine the amount of money in the bank af
    11·1 answer
  • Need help 7th grade science
    13·1 answer
  • Raymond planted a vegetable garden containing 50 plants. There were 15 tomato
    13·1 answer
  • Tamanika received a raise in her hourly pay from 18.00 to $22.50 find the percent Change
    15·1 answer
  • A number increased by the sum of the number and four is 20. Find the number.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!