1. correct
2. correct
3. no
4. correct
I am curious,
in #4 you correctly did show that it was geometric, since you multiplied
a term to get the next one, yet it #3 you said it was arithmetic.
Sorry, I know I just posted this, but I need to make some new changes.
Can somebody please check my work? Thanks.
1. Robin wants to create a sequence to model how much money he's saved through allowance over the weeks of the school year. In the first week, he has $40 and gains $12 each week. If we were to model this situation with a sequence, which type of sequence is more appropriate?
-Answer: arithmetic sequence
-geometric sequence
-a different type of sequence that is neither arithmetic or geometric.
2. Which recursive equation best models the situation from Question 1?
-Answer: t(n + 1) = t(n) + 12, where t(1) = 40
-t(n + 1) = t(n) • 12, where t(1) = 40
-t(n + 1) = t(n) + 40, where t(1) = 12
-t(n + 1) = t(n) + 12, where t(1) = 0
3. Emilia purchased a collectible item for $100. She thought it was a good investment, but it is starting to lose it's value! The value of the item remained at $100 for an entire year. But after, it began to follow a pattern of losing it's value by 2/3 each year. Is this situation best modeled with an arithmetic sequence or a geometric sequence?
-Geometric Sequence
-Answer: Arithmetic Sequence
-Neither
4. Which recursive equation best models the situation from Question 3?
-Answer: t(n + 1) = t(n) • 2/3, where t(1) = 100
-t(n + 1) = t(n) + 2/3, where t(1) = 100
-t(n + 1) = t(n) • 100, where t(1) = 2/3
-t(n + 1) = t(n) • 2/3, where t(1) = 66
2 answers
Sorry, I was slightly confused on #3 because we never really went over a word problem that was decreasing with sequences. I accidentally saw 2/3 as a whole number (I don't know why). My first answer for #3 was Geometric, but I think I over-thought my answer and changed to arithmetic.