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VashaNatasha [74]
3 years ago
14

Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1​

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

  • 0, -1, 1, 1, 1

Step-by-step explanation:

<u>Given recursive formula</u>

  • a₁ = 0
  • aₙ = 2(aₙ₋₁)² - 1, for n>1​

<u>The first 5 terms are:</u>

  • a₁ = 0
  • a₂ = 2(0)² - 1 = 0 - 1 = -1
  • a₃ = 2(-1)² - 1 = 2 - 1 = 1
  • a₄ = 2(1)² - 1 = 2 - 1 = 1
  • a₅ = 2(1)² - 1 = 2 - 1 = 1
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$29.41

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How many 0.6 liter glasses can help you fill up with a 4.5 liter pitcher?<br><br> need work also
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Has a slope of 2 and goes through (5,1)
Slav-nsk [51]

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y = 2x - 9

Step-by-step explanation:

y= mx + b

plug in slope

y = 2x + b

plug in points

1 = 2 (5) + b

simplify

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8 0
2 years ago
Find the remainder for the quotient using either substitution or synthetic division.
zaharov [31]

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

<h3>What is a factor of a polynomial?</h3>

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

learn more about factor of a polynomial here :

brainly.com/question/26354419

#SPJ1

7 0
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