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My name is Ann [436]
3 years ago
13

In a certain arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Mathematics
2 answers:
MAXImum [283]3 years ago
5 0

Answer:

157 is the 24th term

Step-by-step explanation:

The formula for arithmetic sequences is an=a1+(n-1)d,

where an is the nth term, a1 is the first term, n is the term position, and d is the common difference

First, we need to find the common difference using the 10.

Since it's the third term, we have 10=-4+(3-1)d

Solving for d gives us d=7

Next, we need to find the term number of 157

Thus, we have 157=-4+(n-1)*7

Solving for n gives us n=24

We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157

likoan [24]3 years ago
4 0

Answer:

a₁₅₇ = 1,088

Step-by-step explanation:

aₙ = a₁ + d(n-1); where 'd' if common difference

a₁₅₇ = -4 + 7(156)

      = -4 + 1092

      = 1,088

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Problem PageQuestion Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41
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Answer:

The absolute error is <u>4 ft</u> and percent error of Tony's estimate is <u>9.8%</u>.

Step-by-step explanation:

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Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft.

Now, to find the absolute error and the percent error of Tony's estimate.

The height of his office building = 45ft.

The actual height of his office building = 41 ft.

So, to get the absolute error:

<em>The height of his office building - the actual height of his office building</em>

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The absolute error = 4 ft.

Now, to get the percent error of Tony's estimate:

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