helpingmom2
helpingmom2 helpingmom2
  • 16-12-2016
  • Mathematics
contestada

A sequence is defined recursively by f(1)=6 and f(n)=f(n-1)+2n. Find f(4)

Respuesta :

pingwin09
pingwin09 pingwin09
  • 16-12-2016
Since we have given the value of f(1) = 6 at n = 1, we proceed n = 2, 3 and 4 to reach f(4).
At n = 2,
f(2) = f(2 - 1) + 2(2)
f(2) = f(1) + 4
f(2) = 6 + 4
f(2) = 10

At n = 3,
f(3) = f(3 - 1) + 2(3)
f(3) = f(2) + 6
f(3) = 10 + 6
f(3) = 16

Notice that it follows the sequence: 6, 10, 16 by just adding 6. Thus,
f(4) = 16 + 6
f(4) = 22
Answer Link

Otras preguntas

What term is being defined below? the total amount of greenhouse gases produced by individuals or other entities in a given time period a. global warming b. o
Question is in the image. Please help!
The Dawes Act of 1887 supported which policy toward Native Americans in the West? a. assimilation b. separate but equal c. cooperation d. multiculturalism
Change the sentense into simple past tense : shinta writes the beutifull poem
65 % express each percent as a fraction or mixed number
Whenever possible, the most efficient way to perform rescue breathing is?
In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
demographic transitions is change from high birthrates and high death rates to
In "The Long Journey Through the Wilderness," how are Joshua and Caleb different from the other Israelites? A. They help Moses find manna and water when
Find f. A) 7.4 B) 8.2 C) 10.5 D) 11.1