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
V125BC [204]
3 years ago
8

Please help, and i will mark you BRAINLIEST

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0
D. 12 hopes this helps you
You might be interested in
The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip a
Zigmanuir [339]

Answer:

Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Step-by-step explanation:

<u>Philip</u>

  • $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
  • $45 saved

Let's call x to the number of weeks Philip needs to reach $225.

52.5*x + 45 = 225

52.5*x = 225 - 45

x = 180/52.5

x = 3.43

He needs at least 4 weeks

<u>Kevin</u>

  • 3 hours/day * $7.5/hour *3 days/week = $67.5/week
  • $30 saved

Let's call y to the number of weeks Kevin needs to reach $225.

67.5*y + 30 = 225

67.5*y = 225 - 30

y = 195/67.5

y = 2.9

He needs at least 3 weeks

6 0
3 years ago
You are constructing a tangent line from a point outside a given circle to the circle is to draw a circle and a point outside th
Alja [10]
I think its C I am not sure hope it helps 

6 0
3 years ago
Read 2 more answers
PLS HELPP!!
Sphinxa [80]

Answer:

i dont know

Step-by-step explanation:

srry wish i could help you

5 0
3 years ago
Read 2 more answers
The price of a radio was $20 it's on sale for $15 what is the percent of change in the price of a radio
Ierofanga [76]
Your answer is 25% <span> of change in the price of a radio</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • State whether each of the following functions f have a well-defined inverse or not. Recall that a function has an inverse if, fo
    15·1 answer
  • A crater shaped like a cone has a height of 24 yd and a diameter of 72 yd.
    9·1 answer
  • Is 20 greater then or equal to 4/5w?
    7·2 answers
  • A survey was taken of 100 potential voters, asking them which candidate they would vote for in a local election. The results are
    15·1 answer
  • Please Help ! Thank You
    5·1 answer
  • The length of a rectangle is (8x – 9) and the width is (2x + 3).
    6·1 answer
  • Please help me it's urgent
    7·1 answer
  • What is KN + IK?<br> !it’s not 1!
    9·1 answer
  • A, B and C lie on a straight line.
    9·1 answer
  • Which choices are solutions to the following equatior<br> Check all that apply. X^2 -5x=-9/4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!