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The first three terms of a sequence are given, Round to the nearest thousandth of
necessary)
211, 207, 203,
Find the 38th term,
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Answer 1

To find the 38th term of the sequence, use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. Substitute the given values into the formula to find the 38th term as 63.

Step-by-step explanation:

To find the 38th term of the sequence, we need to determine the pattern or rule that governs the sequence. When we observe the given first three terms, we notice that each term is 4 less than the previous term. So, the common difference between the terms is -4.

Using this pattern, we can find the nth term of the sequence using the formula:

an = a1 + (n - 1)d

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

Substituting the given values into the formula:

a38 = 211 + (38 - 1)(-4)

a38 = 211 + 37(-4)

a38 = 211 - 148

a38 = 63

Therefore, the 38th term of the sequence is 63.