Find the first five terms of the sequence.

1 answer:

6 0

Hello :

<span>the sequence.
a(1) =2, a(n+1) =a(n) + 3 is arithmetique (common ratio : 3)
</span><span> the first five terms are : 2,5,8,11,14</span>

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grin007 [14]

What do you think is the first step

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Kazeer [188]

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

$D = \sqrt{L^2 + W^2}$

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

$169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156$

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

#SPJ1

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cestrela7 [59]

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SCORPION-xisa [38]

Width: x
Length: 2x
Perimeter=2x+2x+x+x=6x
32 cm more than width means x+32
6x=x+32
5x=32
x=6.4
Dimension is 6.4×12.8 (width×length)

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