1^2 +2^2+••••+n^2=1/6n(n+1)(2n+1)
using maths induction ​

Hello,

We suppose the property true for n:

1²+2²+...+n²=n(n+1)(2n+1) / 6

and we are going to demonstrate that the property is true for n+1:

1²+2²+..+(n+1)²=(n+1)*(n+2)*(2n+3)/6

1). 8 miles

2). Decrease

3). 0 miles

Step-by-step explanation:

Graph A shows the distance of Bonita from her home to the library.

She drove 8 miles from her home to the library and then drove back.

So the properties of graph A are,

1). Decrease in the distance from house to the library in the initial 15 minutes.

2). Followed by an increase in the distance after 60 minutes for the duration of 15 minutes.

Graph B will show the properties as followed,

1). At 0 minutes height of the graph will be 8 miles.

2). Then the graph will decrease until 15 minutes , when Bonita reaches the library.

3). At 15 minutes, the height of graph will be 0 miles.