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Ahat [919]
3 years ago
14

Represent the arithmetic series using the recursive formula 94, 87, 80, 73,

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

a_1 = 94 \\ a_n = a_ {n - 1}  - 7

Step-by-step explanation:

The given arithmetic sequence is 94, 87, 80, 73,...

The first term is

a_1=94

The common difference is

d = 87 - 94

d =  - 7

The recursive formula is given by:

a_n = a_ {n - 1} + d

We substitute the common difference to obtain:

a_n = a_ {n - 1}  - 7

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A maritime flag is shown. What is the area of the shaded part of the flag? Explain
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Answer:

<em></em>Area = 72in^2<em></em>

<em></em>

Step-by-step explanation:

<em>Your question is incomplete without an attachment (See attachment)</em>

Required

Determine the area of the shaded part

From the attachment;

<em>Assume that the shaded portion is closed to the right;</em>

<em>Calculate  the Area:</em>

<em></em>Area_1 = Length * Width<em></em>

<em></em>Area_2 = 8in * (6in + 6in)<em></em>

<em></em>Area_2 = 8in * 12in<em></em>

<em></em>Area_1 = 96in^2<em></em>

<em></em>

<em>Next;</em>

<em>Calculate the Area of the imaginary triangle (on the right)</em>

<em></em>Area_2 = \frac{1}{2} * base * height<em></em>

<em></em>Area_2 = \frac{1}{2} * (6in + 6in) * 4in<em></em>

<em></em>Area_2 = \frac{1}{2} * 12in * 4in<em></em>

<em></em>Area_2 = \frac{1}{2} * 48in^2<em></em>

<em></em>Area_2 = 24in^2<em></em>

<em></em>

<em>Lastly, calculate the Area of the Shaded Part</em>

<em></em>Area = Area_1 - Area_2<em></em>

<em></em>Area = 96in^2 - 24in^2<em></em>

<em></em>Area = 72in^2<em></em>

<em></em>

<em>Hence,</em>

<em>The area of the shaded part is 72in²</em>

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