What is the sum of the first 10 terms of the geometric sequence 4, -12, 36, -144
1 answer:
The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058
The given geometric sequence is:
4, -12, 36, -144
The first term, a = 4
The common ratio,
Since we are looking for the sum of the first 10 terms
The number of terms, n = 10
The sum of the first n terms of a geometric sequence is given as:
The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058
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Answer:
The fraction of the total distance to her uncle's house that was traveled on Sunday is 1/7
Step-by-step explanation:
Let the total distance from Madison house to her uncle is 1 unit
She travels 5/7th of the total distance on Saturday
Remaining distance =
She travels 1/2 of the remaining distance on Sunday.
Hence, the fraction of the total distance to her uncle's house that was traveled on Sunday is 1/2 * 2/7 = 1/7
Dot plots are used to represent data using dots
The true statements about the dataset are:
- The range of the number line should be 0 to 7 to represent the frequency.
- Four families said they ate out twice the previous week.
- One family said they ate out 5 times the previous week
The dataset is given as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
Rearrange in ascending order
0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6
Represent as a frequency table
Data Frequency
0 2
1 2
2 4
3 0
4 2
5 1
6 1
See attachment for the dot plot
From the attachment, we can see that:
- 4 has a frequency of 2
- 5 has a frequency of 1
Also, the range on the dot plot can be 0 to 7, because it covers the given dataset
Hence, the true statements are: (a), (b) and (c)
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