Write an explicit formula for a(n), the n^th term of the sequence 180,-30,5

  a(n) = 180·(1/6)^(n-1)

Step-by-step explanation:

The generic formula for a geometric sequence is ...

  a(n) = a(1)·r^(n-1)

Your sequence has a first term of a(1)=180 and a common ratio of r=-1/6, so the explicit formula is ...

  a(n) = 180·(1/6)^(n-1)

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold