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3 years ago

Given the recursive formula: a1=3 An=2(an-1+1) Find a2 a3 a4

Mathematics

1 answer:

fenix001 [56]3 years ago

6 0

Answer:

$a_2 = 8$

$a_3 = 18$

$a_4 = 38$

Step-by-step explanation:

We are given the following recursive formula:

$a_n = 2(a_{n-1}+1)$

And consider $a_1 = 3$

$a_2 = 2(a_1 + 1) = 2(3 + 1) = 8$

$a_3 = 2(a_2 + 1) = 2(8 + 1) = 18$

$a_4 = 2(a_3 + 1) = 2(18 + 1) = 38$

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S_A_V [24]

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4 years ago

Please explain for what values of x is function g(x) continuous if it is defined by.

Bond [772]

Using the continuity concept, it is found that the function is continuous for all real values.

<h3>What is the continuity concept?</h3>

A function f(x) is continuous at x = a if it is defined at x = a, and:

$\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)$

In this problem, we are given a piece-wise function, hence we have to look at the points where the definition of the function changes. In this problem, it can only be discontinuous at x = 0, which we have to verify.

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$\lim_{x \rightarrow 0^-} = \lim_{x \rightarrow 0} x^2 - 1 = 0^2 - 1 = -1$ .

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The 3 values are equal, hence the function is continuous at x = 0 and for all real values.

More can be learned about the continuity of a function at brainly.com/question/24637240

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2 years ago

Two physics students are doing a side competition during a game of bowling, seeing who can toss a ball with the larger momentum.

dem82 [27]

Answer:

she should beat a speed of v₂ = 6.04 m/s in order to win the competition

Step-by-step explanation:

Since the momentum p is defined as

p = m*v

where

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v= velocity of the ball

denoting 1 and 2 as the first and second bowler , then to reach the momentum of the first bowler

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therefore

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replacing values

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then since the momentum p = m*v increases with increasing v (at constant m) , she should beat a speed of v₂ = 6.04 m/s in order to win the competition

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4 years ago

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Oxana [17]

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3 years ago

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