3 years ago

What is the sum of the first 10 terms of this geometric sequence? 3, –6, 12, –24, …

Mathematics

2 answers:

sukhopar [10]3 years ago

8 0

Answer:

(-1023)

Step-by-step explanation:

3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536)

Andrews [41]3 years ago

8 0

Answer:

Step-by-step explanation:

a1=3

r=-6/3=-2

$S_{10}=a1\frac{1-r^n}{1-r}\\ =3\frac{1-(-2)^{10}}{1-(-2)} \\=3\frac{1-1024}{3} \\=3\frac{-1023}{3} \\=-1023$

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Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.

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The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

<h3>How to determine the lateral area?</h3>

The given parameters are:

Base length (b) = 6
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The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

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Lateral = 0.5 * (3 * 6) * 13

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Lateral = 117

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<h3>How to determine the surface area?</h3>

The surface area is calculated using:

Surface = l²√3

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Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters