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

Body parts that function like each other, but are different in structure. homologous structures vestigial structures embryos analogous structures
May someone explain please?
what must residents of Los Angeles, California, deal with?
how did the public view Andrew Jackson in his presidency? If possible, be as thorough as possible. Thanks :)
Consider the numbers 4,205,176 and 4,008. What is the difference in the values of the digit 4 in each number.
3) Danyelle needs to borrow $44,000 to finish her basement and consolidate bills. Will take out a home equity line of credit for either 7 years or 10 years at 4
Pls I need help:explain reasons why Ghana is considered to be a cosmopotian please explain​
Which of the following are dependent events?
Chris has 96 local and foreign stamps altogether in his collection. The ratio of the number of local stamps to foreign stamps is 1 : 3. How many local stamps do
Please Help!!!! 15 Points!!!!! I don't know if I have the right answer.....