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vredina [299]
3 years ago
7

Identify the 25th term of the arithmetic sequence 2, 1 and 3 over 5,

Mathematics
2 answers:
Katarina [22]3 years ago
5 0

-7 3/5 is the correct answer simplified.

raketka [301]3 years ago
3 0
First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5

Therefore your arithmetic sequence is 2, 8/5, 6/5, ...

In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5

Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence, 
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
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4) Answer: x = 70
6 0
3 years ago
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Find which term in the geometric sequence 1,3,9,27,... is the first to exceed 7,000.
Zielflug [23.3K]

The common ratio between terms is 3, so the sequence has general n-th term

a_n=3^{n-1}

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3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06

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mx = slope

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Now we can just plug these values into the equation to find the slope.

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Find the y-intercept for the parabola defined by
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Answer:

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P = principal; $3200

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The total amount after 3 years is $3599.57

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