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3 years ago

The first three terms of a geometric sequence are as follows.

Mathematics

1 answer:

Rom4ik [11]3 years ago

4 0

-7,14,-28,56,-112

an = a1(r)^n-1

a4 = -7(-2)^4-1

a4 = -7(-2)³

a4 = -7(-8)

a4 = 56

an = a1(r)^n-1

a5 = -7(-2)^5-1

a5 = -7(-2)⁴

a5 = -7(16)

a5 = -112

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Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle

kakasveta [241]

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$c^2=a^2+b^2.$

The hypotenuse is the side with the greatest length.

Check all options:

1. c=5, a=3, b=4:

$5^2=25,\\3^2+4^2=9+16=25,\\5^2=3^2+4^2$ true.

2. c=14, a=4, b=11:

$14^2=196,\\4^2+11^2=16+121=137,\\14^2\neq 4^2+11^2$ false.

3. c=17, a=9, b=14:

$17^2=289,\\9^2+14^2=81+196=277,\\17^2\neq 9^2+14^2$ false.

4. c=16, a=8, b=14:

$16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2$ false.

5. c=17, a=8, b=15:

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Answer: correct options are A and E.

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3 years ago

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liberstina [14]

0.30 meter is equal to 1 foot

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3 years ago

Please solve quickly

Bumek [7]

Answer:

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Step-by-step explanation:

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2 years ago

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4 years ago

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sasho [114]

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