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belka [17]
3 years ago
8

HELP ME PLEASEE

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

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

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

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

To find the sum of the first n terms, we use this geometric series formula

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

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

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

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

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Answer:

10

Step-by-step explanation:

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8 0
3 years ago
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Perform the indicated operation. square root of 8 + square root of 50
Dmitrij [34]
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</span>
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6 0
3 years ago
A train traveled 217 miles at an average speed of 62mph. for how many hours did the train travel
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3 years ago
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only onc
Bond [772]

Answer:

First, we can write a fraction as a/b

Where a is the numerator, and b is the denominator.

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The improper fractions are those where the numerator is equal or larger than the denominator.

The 9 examples using the given numbers are:

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ycow [4]
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B is the answer
4 0
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