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daser333 [38]
3 years ago
11

Find the first, fourth, and eighth terms of the sequence. A(n) = -2.54-1

Mathematics
1 answer:
vazorg [7]3 years ago
4 0

Answer:

the second option is correct

Step-by-step explanation:

A(n)=-2.5ⁿ-¹

for first term

let n=1

A(1)=-2.5¹-¹

=-2.5^(0)

=-2(1)=-2

for fourth term

let n=4

A(4)=-2.5⁴-¹

=-2.5³

=-2.125

=-250

for eighth term

let n=8

A(8)=-2.5^(8-1)

=-2.5^7

=-2.78125

=-156,250

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
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Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

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Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

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Read 2 more answers
Which situation best shows causation?
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A cause and effect relationship exist between two variables, when one

variable event is made to happen by the other variable.

The situation which best shows causation is option <u>B) The amount of time a </u>

<u>cell phone is used affects the charge of the battery</u>.

Reasons:

Causation is the condition in which the occurrence of an event is caused by

or contributed to by another event. Such that the incident or observation

identified as the cause is responsible for the event, while the the

occurrence of the event depends on the cause being put in place.

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Therefore;

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The option is correct because, a cell phone is powered by battery, and

therefore, the more the cell phone is used, the battery power is used up

and therefore, the charge on the battery is reduced.

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brainly.com/question/18404964

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