Write one word problem using arithmetic sequences and another using geometric sequences.
2 answers:
An arithmetic sequence word problem
"Daniela received $30 as a birthday present and decided to save the money to buy a new video game console. From the following week onward, she added $12 to her savings each week.Let f(n) be Daniela's savings weeks after her birthday"
Geometric:
Ethan wants to recreate the story of the rice and the chessboard, but he only has a mancala board (which has <span><span>14 </span></span>spaces). If he puts <span><span>1</span></span> grain of rice in the first space of the mancala board, <span><span>2</span></span> on the second, <span><span>4 </span></span>on the third, and so on, doubling the amount for each space, how many total grains of rice will be on the board?
The first attachment is how to solve the money problem and the second attachment is the rice problem
"Daniela received $30 as a birthday present and decided to save the money to buy a new video game console. From the following week onward, she added $12 to her savings each week.Let f(n) be Daniela's savings weeks after her birthday"
Geometric:
Ethan wants to recreate the story of the rice and the chessboard, but he only has a mancala board (which has <span><span>14 </span></span>spaces). If he puts <span><span>1</span></span> grain of rice in the first space of the mancala board, <span><span>2</span></span> on the second, <span><span>4 </span></span>on the third, and so on, doubling the amount for each space, how many total grains of rice will be on the board?
The first attachment is how to solve the money problem and the second attachment is the rice problem
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Answer:
Detailed steps:
We know that the number of total events is
and that the probability of a certain event E (for example, "<em>the enemy drops two objects</em>") is computed as the number of times event E occurred, divided by the total of events N=80.
Then:
and
We can verify by checking that adding all probabilities sums up to one.