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

Help please, what's the answer for this ?
Viết chương trình quản lý sinh viên bằng danh sách liên kết đơn. Thông tin sinh viên gỗm: MaSV, TenSV, DiemTB. Thực hiện các yêu cầu sau: 1. Nhập vào n sinh viê
Meg and Gabby work at different car washes. Meg worked for 4 hours and earned $31. Gabby worked for 5 hours and earned $37.50. Who makes more money per hour?
How are units of distance measured on a computer screen? in centimeters in inches in pixels in bytes
2.2f+0.3f−13−4= Pls hurry!
Consider the system of linear equations y=3x+5 y=Mx+b Which values an M & B will create a system of linear equations with no solution
what is the verb form for "contradict"
Which of the following is an internal stimulus? When an animal is in pain. When an animal sees a predator. When an animal notices a change in seasons. When an a
your instructor tells you to ""find one source from a peer-reviewed journal"" for a short class assignment. what is this most likely to mean?
no link or bot answer the question