Question

Math help please show work thanks so much

Answer 1

Explanation:

Diagram (n) Number of circles (
`T_n`)

1 3

2 6

3 10

4 15

5 21

6 28

Pattern:

`T_n = ((n+1)(n+2))/(2)`

Where n = diagram number,

OR

Diagram Number of circles

1 1 + 2

2 1 + 2 + 3

3 1 + 2 + 3 + 4

4 1 + 2 + 3 + 4 + 5

5 1 + 2 + 3 + 4 + 5 + 6

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

n 1 + 2 + 3 + 4 + 5 + . . . + (n + 1)

Answer 2

1.1+2. =3

2.1+2+3 =6

3.1+2+3+4 =10

4.1+2+3+4+5=15

5.1+2+3+4+5+6=21

6.1+2+3+4+5+6+7=28

triangle numbers