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lilavasa [31]
3 years ago
11

In a line of students, Jenna is number 8.The teacher says that a rule for a number pattern is add 4. The first student inline sa

ys the first term, 7. What number should Jenna say?
Mathematics
2 answers:
Anarel [89]3 years ago
5 0
7 , 11 , 15,19,23,27,31,35. Jenna should say 35.
Virty [35]3 years ago
3 0

Answer:

Formula for nth term in Arithmetic sequences is:

a_n =a+(n-1)d

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

a= 7

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, .........a_8

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35

Therefore, 35 number should Jenna say.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

9(x + -3) + 28 = 4x + -3

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9(-3 + x) + 28 = 4x + -3

(-3 * 9 + x * 9) + 28 = 4x + -3

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Reorder the terms:

-27 + 28 + 9x = 4x + -3

Combine like terms: -27 + 28 = 1

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Reorder the terms:

1 + 9x = -3 + 4x

Solving

1 + 9x = -3 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

1 + 9x + -4x = -3 + 4x + -4x

Combine like terms: 9x + -4x = 5x

1 + 5x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0

1 + 5x = -3 + 0

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Add '-1' to each side of the equation.

1 + -1 + 5x = -3 + -1

Combine like terms: 1 + -1 = 0

0 + 5x = -3 + -1

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Combine like terms: -3 + -1 = -4

5x = -4

Divide each side by '5'.

x = -0.8

Simplifying

x = -0.8

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Let us make a statement for inequality to be written.

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