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the first three terms of a sequence are given. round to the nearest thousandth (if necessary) 462, 453, 444. find the 30th term

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Answer: 201

Explanation:

To find the pattern in this sequence, we can subtract each term from the previous term:

453 - 462 = -9

444 - 453 = -9

We see that each term in the sequence is decreasing by 9. Therefore, we can use the formula for the nth term of an arithmetic sequence to find the 30th term:

a30 = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Using the values given in the problem:

a1 = 462

d = -9

n = 30

a30 = 462 + (30-1)(-9)

a30 = 462 - 261

a30 = 201

Therefore, the 30th term of the sequence is 201.

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