meredith48034
meredith48034 meredith48034
  • 13-02-2020
  • Mathematics
contestada

Find explicit formula that generates a sequence whose first four terms are:
1000, 400, 160, 64
​

Find explicit formula that generates a sequence whose first four terms are1000 400 160 64 class=

Respuesta :

jimthompson5910 jimthompson5910
  • 13-02-2020

This is a geometric sequence.

a = 1000 is the first term

r = 0.4 is the common ratio (since a2/a1 = 400/1000 = 0.4)

a(n) = a*r^(n-1)

a(n) = 1000*0.4^(n-1)

a(n) = 1000*0.4^n*0.4^(-1)

a(n) = 1000*0.4^n*2.5

a(n) = 1000*2.5*0.4^n

a(n) = 2500*(0.4)^n

Answer is choice B

Answer Link

Otras preguntas

How do I find a solution in an equation
17. The following is an example of?​
During the Great Depression: O A. many people invested in the stock market. B. many people bought second homes. O C. many people relied on credit to buy food. O
which part of the plant cell absorbs sunlight a. cell membrane b. glucose c. pigments d. mitochondria
Perform the indicated operations/solutions. 1. 12-7+45÷15x11= 2. 16x2+12-18÷9-4=
what were the social motives for imperialism?
Can someone please help !!
A 12.17 g sample of a compound contains 7.77 g of iron, Fe, 1.44 g of phosphorus, P, and oxygen, O. Calculate the empirical formula for the compound.
Calculate the density of sulfur dioxide gas (SO2) at 147°C and 29.9 kPa.
Some please help me I’ll give you brainlist answer