Mrs. Black has one begonia plant. If she buys two begonia plants each year for every one she has, how many will she have in four years?
Please explain the answer.
every year she has 3 times as many plants
1+3+9+27+81 = 121
first year 1
second year 2+1
third year 6 +2+1
fourth year=18+6+2+1
total= sum above
24 plants
first year 1+2=3
second year 3x2=6
third year 6x2=12
fourth year 12x2=24
First year
1+ 2=3
Second year
3+2+2+2=9
Third year 9+2+2+2+2+2+2+2+2+2=27
Fourth year
27+[27•2]=81
You times by three every year:
First year=3
Second year=9
Third year=27
Fourth year=81
Thank you
To find out how many begonia plants Mrs. Black will have in four years, we need to calculate the number of plants she gains each year and then add them up.
Let's break it down step by step:
Year 1: Mrs. Black has 1 begonia plant.
She buys 2 begonia plants for every 1 she has.
So, in the first year, she gains 2 * 1 = 2 new begonia plants.
Now she has a total of 1 + 2 = 3 begonia plants.
Year 2: Mrs. Black has 3 begonia plants.
Again, she buys 2 begonia plants for every 1 she has.
So, in the second year, she gains 2 * 3 = 6 new begonia plants.
Now she has a total of 3 + 6 = 9 begonia plants.
Year 3: Mrs. Black has 9 begonia plants.
She buys 2 begonia plants for every 1 she has.
So, in the third year, she gains 2 * 9 = 18 new begonia plants.
Now she has a total of 9 + 18 = 27 begonia plants.
Year 4: Mrs. Black has 27 begonia plants.
Once again, she buys 2 begonia plants for every 1 she has.
So, in the fourth year, she gains 2 * 27 = 54 new begonia plants.
Now she has a total of 27 + 54 = 81 begonia plants.
Therefore, in four years, Mrs. Black will have a total of 81 begonia plants.