yeidiyan6692 yeidiyan6692

03-03-2018
Mathematics

contestada

Use inductive reasoning to find the next term in the sequence 1, 2, 4, 7, 11, 16… what is the next term?
a. 18
b. 19
c. 22
d. 26

Respuesta :

03-03-2018

Hello,

[tex]u_1=1\\ u_2=2\\ u_3=4\\ u_4=7\\ u_5=11\\ u_6=16\\ u_2-u_1=2-1=1\\ u_3-u_2=4-2=2\\ u_4-u_3=7-4=3\\ u_5-u_4=11-7=4\\ u_6-u_5=16-11=5\\ ... u_n-u_{n-1}=n-1\\ \boxed{u_n=u_{n-1}+n-1}\\ u_7=u_6+(7-1)=16+6=22\\ [/tex]

Answer C

Answer Link

Otras preguntas

The organisms body is constructed using the information contained in what?

Which is a contribution of classical greeceto modern western civilizationA) Democratic governmentB) Monotheistic religionC) Women suffrage D) Abolition of slave

Use the formulas a = x^ 2 - y^ 2, b = 2xy, c = x^ 2 + y^ 2 to answer this question. One leg of a right triangle has length 7 and all sides are whole numbers. F

How do I solve this problem

In colonial america, reaching an older age was viewed ________.

¿Cuál es la frase cierta? Las playas de Puerto Rico son una parte importante del turismo de la isla. Puerto Rico tiene muchas islas pero los turistas prefieren

Can someone help me please

The resistance of a wire is not dependent on A) temperature B) length C) diameter D) current

In new england, soft-drink beverages are called soda while in many other parts of the country they are called pop. this is an example of the effects of regional

what is the slope of y=-1+3x