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

A farmer planted 54 trees in 3 days. On the first day he planted 5 more trees than on the second day, and 2 less trees on the third day than on the second day.

what is (3×6t)(11×7) ??????

She bought jewelry for her sister. If you wanted to include the idea that Charlotte was in Paris when she bought the jewelry, which would be the most effective

2. What languages are spoken in Cuba?

Ann will run less than 26 miles this week. So far, she has run 15 miles. What are the possible numbers of additional miles she will run.

18 months as a fraction of a year

The potential market represents all active duty military members, all veterans, and their families. Assume that according to the United States Department of

What is the next square number in the list? 49, 64, 81,

Which of these actions would increase heat transfer between two objects

How many grams of hydrogen are needed to produce 1.80g of water according to this equation? 2H2+O2 to 2H2O