What is the next number in the pattern?

1, 6, 11, 16,

write your working and your answer in the box below.

21

Step-by-step explanation:

The pattern of the sequence is +5

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)