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Paul [167]
4 years ago
12

Which answer represents the series in sigma notation? −5+(−1)+3+7+11

Mathematics
1 answer:
madam [21]4 years ago
5 0

Answer:

In sigma notation, the series may be represented as,

\sum_{x = 0}^{4}(-5 + 4x)

It is an arithmetic progression with

1st term = -5

common difference = 4

no, of terms = 5

Step-by-step explanation:

The finite series is given by,

-5 + (-1) + 3 + 7 + 11

In sigma notation, the series may be represented as,

\sum_{x = 0}^{4}(-5 + 4x)

It is an arithmetic progression with

1st term = -5

common difference = 4

no, of terms = 5

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Answer: The answer would be  x < 10/7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

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Step by step solution :

STEP

1

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Pulling out like terms

1.1     Pull out like factors :

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Equation at the end of step

1

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STEP 2

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2.1   Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

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2.2    Divide both sides by  7  

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Solve Basic Inequality :

2.3      Subtract  10/7  from both sides

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Inequality Plot :

2.4      Inequality plot for

        7.000 x  - 10.000  >  0

 

One solution was found :

x < 10/7

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