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stellarik [79]
3 years ago
5

I have a problem with Sequences and im trying to figure it out any help

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The given formula is a recursive formula which allows a term in the sequence to be found using the previous term.

Given

A_{n} = A_{n-1} + 3 with A₁ = 2, then

A₂ = A₁ + 3 = 2 + 3 = 5

A₃ = A₂ + 3 = 5 + 3 = 8

A₄ = A₃ + 3 = 8 + 3 = 11

A₅ = A₄ + 3 = 11 + 3 = 14

The first 5 terms in the sequence are 2, 5, 8, 11, 14

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Describe and correct the error in writing the phrase as an expression?
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Answer:

12 < x

Step-by-step explanation:

In writing 12 less than a number x, the expression, 12 - x is wrong because "less than" is not the same thing as "minus" (-). Rather, the sign, "<" should have been used as follows:

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4 0
3 years ago
Please help. Thank you!
katrin2010 [14]

Answer:

3a. ⇒ 2700 cm³

3b. ⇒ 72,900 cm³

3c. ⇒ 27

Step-by-step explanation:

3a.

∵ The model in a shape of square pyramid

∴ Its volume = base area × height

∵ Base shaped square with side length 15 cm

∴ Area of base = 15 × 15 = 225 cm²

∵ The model height = 12 cm

∴ She needs = 225 × 12 = 2,700 cm³ of plaster

3b.

∵ Each dimension in the actual stage = 3 times the model

∴ The side of the square base = 15 × 3 = 45 cm

∴ The height = 12 × 3 = 36 cm

∴ The area of the base = 45 × 45 = 2,025 cm²

∴ She needs = 2025 × 36 = 72,900 cm³ of plaster

3c.

∵ Each length in the actual stage is 3 times the model

∴ The volume of the actual stage = (3)³ the volume of the model

∴ The volume of the actual stage = 27 the volume of the model

<em>To check your answer:</em>

Volume actual ÷ Volume model = 72,900 ÷ 2700 = 27

3 0
3 years ago
IS THIS RIGHT <br> JUST ANSWER YES OR NO
Ivanshal [37]

Answer:

B

Step-by-step explanation:

x^3 + 2x^2 - 9x - 18 = x^2(x + 2) - 9(x + 2) = (x + 2)*(x^2 - 9)

(x + 2)/(x + 2)(x^2 - 9) = 1 / (x^2 - 9)

==============

1/(x^2 - 9) * (x^2 - 9)/(3x  + 1) = 1/(3x + 1)


Yes B is correct.


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Answer:

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Step-by-step explanation:

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3 years ago
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