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ololo11 [35]
3 years ago
9

Which of the following is equivalent to the equation below?

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0
B is the correct answer R=Q-7s/4
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Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
Jake completed a marathon race 3 hours and 12 minutes.write Jakes running time as a decimal
iVinArrow [24]
If an hour is equal to 1, then we know that the answer is more than 3. 12 minutes is equal to 1/5 of an hour, and if we add 3 and 1/5, we get the answer.

3 1/5
6 0
3 years ago
Read 2 more answers
Determine the equation of the line that has a slope of 7 and passes through the<br> point (2,-4)
tatuchka [14]

Answer:

this is the ans

Step-by-step explanation:

hope it helped!!!

5 0
2 years ago
Which equation represents the graphed function? y = –3x + 3 y = 3x – 3 y = 3x – negative StartFraction 1 Over 3 EndFraction. y =
Len [333]

Answer:

y = –x + 3

Step-by-step explanation:

I got right on ed.

7 0
3 years ago
Read 2 more answers
-21+2(3-15)-(-3)(+7)+(-3)(-8)​
Alexxx [7]

Answer:

- 21 + 2(3 - 15) - ( - 3)( + 7) + ( - 3)( - 8) \\  =  - 21 - 24 + 21 + 24 \\  = 0

8 0
3 years ago
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