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 :

caylus
caylus caylus
  • 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

Which of the following statements would be true about parties in the government? A. All members of the parties in the government share the same views on policy
Which of the following enzymes works best at acidic pH ? 1.Amylase2.Lipase3.Trypsin4.Protease​
the exterior angle of a regular polygon is 36°. what is the name of this polygon?
Help me please….,………………
Need reply on urgent basis
According to the graph, in what year were there two million farms? 1995 1960 1980 1975
Which of the following best describes what would have to change to transform an authoritarian government into a theocracy?
Please help me with this on the picture
13. Solve for m. Assume that none of the denominatons are equal to 0Plz help me​
Can someone please help me solve the equation?