Question

Can someone answer this just read the picture? Right answers only please!

Answer 1

126 smileys

Explanation:

`a_(1) =` First term

= 6

`d =` Common difference

= 3

`n =`
`n^(th) term`

= Step number

Arithmetic sequence will be applied:

`a_(n) = a_(1) + (n - 1)d`

For n = 2:

`a_(2) = 6 + (2 - 1)(3)`

`= 6 + (1)(3)`

`= 9`

For n = 3:

`a_(3) = 6 + (3-1)(3)`

`= 6 + (2)(3)`

`= 6 + 6`

`= 12`

∴For n = 41:

`a_(41) = 6 + (41 - 1)(3)`

`= 6 + (40)(3)`

`= 6 + 120`

`= 126`

∴There will be 126 smiley faces in Step 41

Answer 2

6 + 40 *3 = 126

Explanation:

first is 6 and you add 3 in every step