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Mathematics

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Vadim26 [7]2 years ago

3 0

By applying the concept of finite sum and the properties of the series, we conclude that the finite sum $p = \sum \limit_{x=1}^{3} 2^{x}+ 2$ is equal to the value of 34.

<h3>How to find the result of finite sum</h3>

Let be a sum of the form $p = \sum\limits_{i= 1}^{n} a_{i}$ , where n represents an integer. This kind of sum represents a finite sum, whose expanded form is presented below:

p = a₁ + (a₁ + a₂) + (a₁ + a₂ + a₃) + ... + (a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ) (1)

If we know that $p = \sum \limit_{x=1}^{3} 2^{x}+ 2$ , then the result of the finite sum is:

p = (2 + 2¹) + (2 · 2 + 2¹ + 2²) + (3 · 2 + 2¹ + 2² + 2³)

p = 4 + (4 + 6) + (6 + 14)

p = 4 + 10 + 20

p = 34

By applying the concept of finite sum and the properties of the series, we conclude that the finite sum $p = \sum \limit_{x=1}^{3} 2^{x}+ 2$ is equal to the value of 34.

To learn more on series: brainly.com/question/15415793

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