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

Why is most of the mass of an atom is located in the nucleus?
How many 2/3 -ounce packages of peanuts can be made with 8 ounces of peanuts? Explain how you found your answer.
What region of the United States is the Dust Bowl associated with?
Multiply. (–4) ∙ (–8) a. –32 b. –12 c. 12 d. 32
use multiplication and the distributive property to find the quotient of 54/3
S= 2( lw + lh + wh) Solve for w Please show your work
how many zeros are in the product 6 times 5 times 10
Which sentence contains a prepositional phrase? A. Running all the way, he got there early. B. With the proper help, they'll complete the project early. (C. The
change 12.39% to a decimal
Which one of the following mathematical statements is true? A. 0 ÷ 28 = 0 B. 28 – 0 = 0 C. 28 ÷ 0 = 0 D. 28 0 = 0