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2 years ago

13

There were 12,351 visitors to a history center last year .what is this number rounded to the nearest hundred? Explain how you ro

unded.

1 answer:

OlgaM077 [116]2 years ago

3 0

12,351 ~ 12,400 I rounded 12,351 to 12,400 because when there is 5 when you round,the hundred goes up.
~

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irinina [24]

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answer is 7.5 miles

Step-by-step explanation:

30/8=3.75 mi in one hour

3.75*2=7.5 miles in 2 hours

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2 years ago

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2 years ago

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

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2 years ago