Deshawn plans on raising a total of $1,000 for a local charity. His goal is to raise
1 answer:
If Deshawn’s goal was to raise three-fifths of $1000 you need to fond out what a fifth of 1000 is. You divide 1000 by 5 to get 200. Since it is three fifths you multiply that by 3 which equals $600. Now if Deshawn only reached five-sixths of $600 you need to find out what a sixth of 600 is so divide 600 by 6 which equals 100. Now you multiply that by five as it is 5 sixths of the goal which equals $500. So the answer would be - Deshawn raised $500.
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Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.