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Radda [10]
2 years ago
13

Write an equation for an arithmic sequence such that t(3)=13 and t(12)=67 HELP ASAP

Mathematics
1 answer:
ale4655 [162]2 years ago
7 0

Answer:

  t(n) = 1 +6(n -1)

Step-by-step explanation:

The general term of an arithmetic sequence with first term t(1) and common difference d is given by the formula ...

  t(n) = t(1) +d(n -1)

__

Using the two given values  of n and t(n), we can find the unknown parameters.

  13 = t(3) = t(1) +d(3 -1) = t(1) +2d

  67 = t(12) = t(1) +d(12 -1) = t(1) +11d

Subtracting the first equation from the second, we get ...

  (67) -(13) = (t(1) +11d) -(t(1) +2d)

  54 = 9d . . . . simplify

  6 = d . . . . . . divide by 9

Substituting into the first equation gives ...

  13 = t(1) +2(6)

  1 = t(1) . . . . . . . . subtract 12

Using the found values in the equation for the sequence gives ...

  t(n) = 1 +6(n -1)

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PLS HELP!!
mestny [16]

Answer:

x = - 3 , x = 2

Step-by-step explanation:

the solutions are the points on the x- axis ( y = 0 ) where the graph crosses.

solutions are then x = - 3 , x = 2

3 0
3 years ago
10. Tom bought 3 pairs of socks and a shirt. The total cost was $21.00. The socks cost $2.50 for each pair. How much did the shi
Valentin [98]

Answer:

3x + y = 21

x = 2.5

7.5 + y = 21

y = 13.5

shirt cost $13.50

Step-by-step explanation:

6 0
2 years ago
Which value or in the solution set of the inequality − 2/3 x + 13 ≥ − 1
Svetach [21]

Answer:

x\leq21

Step-by-step explanation:

(-2/3)x+13≥ -1

    (-2/3)x≥ -14 (I subtracted by 13 on both sides)

             x\leq-14*(-3/2) (I divided by -2/3 on both sides)

             x\leq21

5 0
3 years ago
Sahana sells two products for ₹. 8000 each gaining 8% on one and losing 6% on the other. Find her gain or loss percent in the wh
Margaret [11]

Based on the information given the gain or loss percent on the whole transaction​ is 1%.

<h3>Gain or loss percent: </h3>

First step is to calculate the profit on the whole transaction

Profit=(8%×8,000)-(6%×8,000)

Profit=$640-$480

Profit=$160

Now let calculate the gain or loss percentage on the whole transaction

Gain or loss percentage=160/(8000+8000)×100

Gain or loss percentage=160/16000×100

Gain or loss percentage=1%

Inconclusion the gain or loss percent on the whole transaction​ is 1%.

Learn more about gain or loss here:brainly.com/question/25278228

5 0
2 years ago
Find the measure of
Sonbull [250]

Answer: 77°

Step-by-step explanation:

First we are going to find x and then insert it in 18x +5 to be able to get our <WZX

But to find x, we will have to apply the the exterior angle theorem

The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges

Using this theorem, then from the diagram above ;

18x + 5 = 48 + 8x - 3

we collect like term

18x - 8x = 48-3-5

10x = 40

Divide bothside by 10

10x/10 = 40/10

x = 4

but <WZX = 18x + 5

Then we substitute x=4

<WZX = 18(4) + 5

<WZX = 72 +5

<WZX =77

Therefore the measure of <WZX is 77°

8 0
4 years ago
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