andrewdangmus andrewdangmus

13-06-2018
Mathematics

contestada

The sequence {an } is defined by a of o = 1 and a of n + 1 = 2 a of n + 2 for n = 0, 1, 2.... What is the value of a of 3?

Respuesta :

LammettHash LammettHash

13-06-2018

[tex]\begin{cases}a(0)=1\\a(n+1)=2a(n)+2&\text{for }n\ge0\end{cases}[/tex]

Use the second part of the definition (the recursive one):

[tex]a(1)=2a(0)+2=4[/tex]
[tex]a(2)=2a(1)+2=10[/tex]
[tex]a(3)=2a(2)+2=22[/tex]

Answer Link

Otras preguntas

The weight of an object is the product of its mass, m, and the acceleration of gravity, g (where g=9.8 m/s2). If an object’s mass is m=10. kg, what is its weigh

Are the two plates along the coast South America probably a divergent boundary or a convergent boundary?

Two cars start at the same time and travel at different constant rates. A graph for Car A passes through the point (0.5, 27.5), and a graph for Car B passes th

why does scientific knowledge change over time

What is the balanced equation of the double replacement that occurs when lead(II) chloride is reacted with lithium sulfate?

In bud's,not buddy is rule 118 meant to help bud survive or thrive

During the Golden Age of Athens, male citizens

how did the institution of slavery develop and why did it develop differently in the chesapeake, the carolina low country (coast) and the west indie

joseph says that there is 5/8 of a ham sandwich left and 1/2 of a turkey sandwich left. what is NOT a pair of equivalent fractions for 5/8 and 1/2?

what's the approximate length of the Panama Canal