Graph the first 10 terms of the arithmetic sequence an = 2 + 3n and the equation of the line y = 3x + 2. Compare the graphs and explain the differences.

Respuesta :

Answer:

There is no difference between the graphs of the arithmetic sequence and the equation of the line.

Step-by-step explanation:

If we calculate the first 10 terms of the arithmetic sequence, putting n =1,2,3....,10

a1 = 5

a2= 8

a3= 11

a4= 14

a5= 17

..

a10= 32

The graph of arithmetic sequence is plotted by using term numbers and values of the terms.

And the points for equation will be calculated by putting x=1,2,3,...,10

x=1 , y = 5

x=2, y = 8

x=3, y = 11

..

..

x=10, y = 32

The first 10 terms for both arithmetic sequence and the points for line of equation are same.

So there will be no difference in graph..

Note: The attached graphs are sketched using the graph calculator at desmos.com

The red line graph is for arithmetic sequence and the blue one is for equation.

Ver imagen absor201
Ver imagen absor201