(03.07 mc)
monica measures the number of bacteria that are living on her petri dish. each day, she measures the amount of change in the number of bacteria. these amounts
create a geometric sequence. use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day.
day. amount of bac
1. 3
2. -6
3. 12
4. -24
answers
a. -15
b. 15
c. 127
d. 129
i think it is c. 127 but i am not sure right !

129

Step-by-step explanation:

Each day, Monica measures the amount of change in the number of bacteria and this number from each day gives a geometric series

3, -6, 12, -24, having first term 3 and the common ratio -2.

Then the sum of the amount of change in the bacteria after the seventh day will be ( 3 - 6 + 12 - 24 + 48 - 96 + 192) = 129 (Answer)

Length of garden = (3x + 2) ft

Width of garden = (x + 5) ft

Area of garden = (3x² + 17x + 10) ft²

Step-by-step explanation:

Assume,

Side of tomato patch = x ft

so,

Length of garden = (3x + 2) ft

Width of garden = (x + 5) ft

Area of garden = (3x + 2)(x + 5)

Area of garden = (3x + 2)(x + 5)

Area of garden = (3x² + 17x + 10) ft²