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The first three terms of a sequence are given. Round to the nearest thousandth (if

A necessary).
311, 305, 299,...
Find the 32nd term.

1 Answer

1 vote

Final answer:

To find the 32nd term of the sequence, we can use the formula for the nth term of an arithmetic sequence.

Step-by-step explanation:

To find the 32nd term of the sequence, we need to identify the pattern. Looking at the given terms, we can see that each term is 6 less than the previous term. So, the common difference between the terms is -6. To find the 32nd term, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d,

where an represents the nth term, a1 is the first term, n is the term number, and d is the common difference. Plugging in the given values, we have:

a32 = 311 + (32-1)(-6),

a32 = 311 - 186,

a32 = 125.

Therefore, the 32nd term of the sequence is 125.

User Michael Jackson
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