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Misha Larkins [42]
3 years ago
9

Given the following recurrence relation: An=(−2)An−1, with A0=(−1)

Mathematics
1 answer:
kirill [66]3 years ago
4 0
Technically you could answer this one by one, by substituting n with 1, 2, 3, 4, then 5. Like here:
A1=(-2)A1-1
=(-2)A0, then substituting A0 with -1...
=(-2)(-1)
Which would mean A1=2. Then..
A2=(-2)A2-1
A2=(-2)A1
A2=(-2)(2)
Which would mean A2=-4.
By repeating this process you'd eventually get A4..
A5=(-2)A4
if you did the steps right you'd get that A4 is -16..
A5=(-2)(-16).
Then simplify to get your answer.
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Complete the proof given below.
allochka39001 [22]

Given that the opposite sides of a parallelogram are congruent, a diagonal

of the parallelogram forms two congruent triangles.

The correct options to complete the proof are;

  • <u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram
  • <u>Reflexive property of congruency</u>
  • <u>SSS</u>

Reasons:

The completed two column proof is presented as follows;

Statement  {}                                  Reason

1. ABCD is a parallelogram  {}       1. Given

2. \overline{AB} ≅ \overline{DC} and \overline{BC} ≅ \overline{DA}  {}      2. <u>Opposite sides of a parallelogram</u>

3. \overline{AC} ≅ \overline{CA}    {}                             3. <u>Reflexive property of congruency</u>

4. ΔABC ≅ ΔCDA     {}                   4. <u>SSS</u>

The correct options are therefore;

<u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram

Reflexive property of congruency

SSS;

Reason 2. Opposite sides of a parallelogram, which is based on the

properties of a parallelogram and that ABCD is a parallelogram.

Reason 3. The reflexive property of congruency, states that a side is

congruent to itself.

Reason 4. SSS is an acronym for Side-Side-Side, which is a congruency

postulate that states that if the three sides of one triangle are equal to the

three sides of another triangle, then the two triangles are congruent.

Learn more about parallelograms here:

brainly.com/question/4218263

brainly.com/question/21390857

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Step-by-step explanation:

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Konichiwa~! My name is Zalgo and I am here to help you out today. If f were to equal -3, first we need to put -3 into the equation. It would look like "f(-3)=x^2". The answer to that equation is 9.

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