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kirza4 [7]
1 year ago
13

Suppose that a sequence is defined as follows.a₁ = -4, an=3an-1+7 for n>2List the first four terms of the sequence.

Mathematics
1 answer:
maria [59]1 year ago
8 0

The sequence is defined as

an = 3an - 1 + 7

This means that

a2 = 3(a(2 - 1) + 7

a2 = 3a1 + 7

From the information given ,

a1 = - 4

Thus,

a2 = 3 * - 4 + 7 = - 12 + 7

a2 = - 5

a3 = 3(a(3 - 1) + 7

a3 = 3a2 + 7

a3 = 3 * - 5 + 7 = - 15 + 7

a3 = - 8

a4 = 3(a(4 - 1) + 7

a4 = 3a3 + 7

a4 = 3 * - 8 + 7 = - 24 + 7

a4 = - 17

Thus, the first four terms of the sequence are

- 4, - 5, -

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Anestetic [448]
<h2>Answer:</h2>

This is impossible to solve.

<h2>Step-by-step explanation:</h2>

For an equation or inequality to be solvable, there must be the same number of inequalities as variables. Here, there is an x and there is a y. This means that you need at least two inequalities to solve it.

You can, however, rearrange to get x or y on one side.

This can be done for x:

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3 years ago
Marcy left for school and felt like running. She ran for a while and then stopped to rest. After resting, she walked the rest of
egoroff_w [7]

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The last graph best represents the story

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3 years ago
James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?
andreev551 [17]

James'age : 12, Kate's age : 7

<h3>Further Explanation </h3>

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

\large{\boxed{\bold{ax=b}}}

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

\large{\boxed{\bold{ax+by=c}}}

x, y = variable

In the statement of the task:

  • James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2  ⇒equation 1
  • Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K  ⇒equation 2

So the solution is:

Equation 2 is entered into equation 1 so that it becomes:

19-K = 2K-2

21 = 3K

K = 7

because J + K = 19, then the value of J = 19-7 = 12

<h3>Learn more</h3>

the slope-intercept form of the linear equation

brainly.com/question/1945934

a graph of a linear equation

brainly.com/question/1505806

system of linear equations

brainly.com/question/11544167

Keywords : Age, variable, linear equation

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