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3 years ago

Study the geometric sequence {-4, -84, -1764, -37044, ...}.

Mathematics

1 answer:

Nonamiya [84]3 years ago

3 0

Answer:

$\bold{a_n=(-4)21^{n-1}}$

Step-by-step explanation:

$a_1=-4\,,\ a_2=-84\,,\ a_3=-1764\,,\ a_4=-37044\quad\implies\ \ r=21$

{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}

geometric sequence formula: $a_n=a_1r^{n-1}$

$a_1=-4\quad and \ \ r=21$

$a_n=(-4)21^{n-1}$

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2 years ago

A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.

levacccp [35]

Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

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Multiplying by the denominator gives you ...

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3 years ago

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. He Immediately rode back home once he real

Aneli [31]

Answer:

Total displacement = 0 blocks

Step-by-step explanation:

Displacement : It is defined as the total distance between the initial and the final positions of the moving object or a body. The total displacement can be 0 in case the initial and the final positions of the body are same.

The distance traveled by Johnny from his house to his friends house = 4 blocks

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Total distance traveled = 4 + 4

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Therefore, the initial and the final position of Johnny is same and this can be used as a reference point for the given problem.

⇒ Total displacement = 0 blocks

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2 years ago

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Pachacha [2.7K]

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2 years ago

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