Consider a sequence given by the formula an = an−1 − 5, where a1 = 12 and n ≥ 2.
c. find a6 and a100 of the sequence

a6 = -13

a100 = -507

Step-by-step explanation:

To find the value for a6 and a100 we first need an explicit formula for the sequence

To find the explicit formula we need to find the first few terms of the sequence (in this case we take the first 5)

To find the first 5 terms we have the initial value and using the given formula we find the remaining 4 values

the 5 values are as follow

a1 = 12

a2 = 7

a3 = 2

a4 = -3

a5 = -8

From this we know the initial value which is 12 and the constant difference between each value which is -5

Using the general formula for arithmetic sequences i.e.

where

is the nth term of the sequence

is the initial value which is 12

is the nth count

is the constant difference between each term which is -5

Thus we have the following formula

Finding the a6 or 6th value

Finding the a100 or 100th value

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

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )