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

intersecting lines proof easy(15 points ) halfway done

Chloe invests money in an account paying simple interest. She invests $200 and no money is added or removed from the investment. After one year, she has $204. W

A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter

calculate the mass of one atom of helium.

True or false? During a change of state the temperature of the substance does not change.

In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars? A. 150 red bar's B. 199 red bars c.201 red

Where is the point (-8,0) located on the coordinate plane?1. On the X-axis2. In quadrant ll3. In quadrant lll4. On the y-axis

Help pls best two answer get the crown.

Which best describes the nature of photosynthesis? It is an energy-attracting process. It is an energy-building process. It is an energy-releasing process. It i

please urgent please help