Determine whether each sequence is geometric? <br>
1) 60,48,36,24,12,…<br>
2) 3,6,12,24,48,…
balandron [24]
Answers:
- Not geometric
- Geometric
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Explanation for problem 1
Divide each term over its previous term.
- term2/term1 = 48/60 = 0.8
- term3/term2 = 36/48 = 0.75
We can stop here. The two results 0.8 and 0.75 do not match up, so we don't have a common ratio. Therefore, this sequence is <u>not</u> geometric. A geometric sequence must have each ratio of adjacent terms to be the same value throughout the list of numbers.
Side note: This sequence is arithmetic because we are subtracting the same amount each time (12) to generate each new term.
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Explanation for problem 2
Like before, we'll divide each term by its previous term.
- term2/term1 = 6/3 = 2
- term3/term2 = 12/6 = 2
- term4/term3 = 24/12 = 2
- term5/term4 = 48/24 = 2
Each ratio found was 2. This is the common ratio and it shows we have a geometric sequence. It indicates that each term is twice that of its previous term. Eg: the jump from 12 to 24 is "times 2".
I think the correct answer would be the last option. The correct point slope form would be <span>y – 8 = –2/3(x + 3). To write this, we only follow the general formula y - y1 = m(x -x1) where m is the slope which is -2/3 and x1 and y1 is the point given above. We do as follows:</span>
y - y1 = m(x-x1)
y - 8 = -2/3 (x + 3)
Answer:
Dude like I just answered the previous question. Try doing it by yourself. Lol
6/14 is the next fraction in the sequence
Answer:
139°
Step-by-step explanation:
They would both be 139
