1)WHAT IS THE 40-TH NUMBER IN THE SEQUENCE 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,........?

1. 9

2. I don't know

1. Here's the idea:

1st number is one (0+1 = 1)

2nd and 3rd number is two (1+2 = 3)

4th to 6th numbers are three (3+3 = 6)

Do you see the pattern? I'll illustrate it for you.

1---0+1 = 1

2---1+2 = 3

3---3+3 = 6

4---6+4 = 10

5---10+5 = 15

6---15+6 = 21

7---21+7 = 28

8---28+8 = 36

9---36+9 = 45

So, the 40th number is 9

2. There is a rule stating that if a right triangle is inscribed in a circle, then the hypotenuse of the right triangle is also the diameter of the circle that it is inscribed in. So...

diameter = 10

radius = 5

Area = pi*radius*radius

Area = 25*pi

~Zara Sahana

I'll answer only No. 2.

Since 6² + 8² = 10² it is a right triangle.

If a right triangle is inscribed in a circle, its hypotenuse coincides with a diameter of the circle.

So diameter = 10

Area of circle = π(10/2)² = 25π

1+2+3+4+5+6+7+8+9

the 40th number is a 9.

2. don't know.

it would not be 40 40's

because if you were looking for the 5 term it would not be 5 count

1,2,2,3,3

it would be a three.

if you wanted the 6 term

1,2,2,3,3,3

it would also be a three

the 40th term would be a 9

40th no is a 9

well i spose the diameter of the circle must be at least 10 so work it out from there

the 40th number is 9.

1) If there is one 1, two 2's, three 3's, then it must be forty 40's (40 written 40 times)

2) Dont know