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weqwewe [10]
4 years ago
6

Evaluate the summation of 2n+5 from n=1 to 12 29 36 216 432

Mathematics
1 answer:
rewona [7]4 years ago
3 0
\bf \sum\limits_{n=1}^{12}\ 2n+5\implies \sum\limits_{n=1}^{12}\ 2n+\sum\limits_{n=1}^{12}\ 5\implies 2\sum\limits_{n=1}^{12}\ n+\sum\limits_{n=1}^{12}\ 5
\\\\\\
2\cdot \cfrac{12(12+1)}{2}+(12\cdot 5)\implies 156+60\implies 216
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The geometry is that the number of sides for a 15- gon is 15 sides and the angles are 156° each.

<h3>How to calculate the angle?</h3>

The total angles in a 15 gon will be calculated as:

= (n - 2) × 180

= (15 - 2) × 180

= 2340

The value of each angle will be:

= 2340/15

= 156°

The total angles in a 16 gon will be calculated as:

= (n - 2) × 180

= (16 - 2) × 180

= 2520

The value of each angle will be:

= 2520/16

= 157.5°

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Mean \mu, standard deviation \sigma

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