The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary). 403,395,387,dots Find the 37th term. Answer:

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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).  403,395,387,dots Find the 37th term. Answer:

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Determine Common Difference: First, we need to determine the common difference in the sequence by subtracting the second term from the first term and the third term from the second term.  Calculation: 395 - 403 = -8 and 387 - 395 = -8.Confirm Arithmetic Sequence: Since the common difference is consistent, we can confirm that this is an arithmetic sequence with a common difference of -8.Find 37th Term Formula: To find the 37th term, we use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.Plug in Values: We plug in the values we know into the formula: a_37 = 403 + (37 - 1)(-8).Calculate Term: Now we calculate the term inside the parentheses: 37 - 1 = 36.Multiply Common Difference: Next, we multiply 36 by the common difference -8: 36 * -8 = -288.Add to Find 37th Term: Finally, we add this result to the first term to find the 37th term: 403 + (-288) = 115.

The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary). $\newline$ $403,395,387, \ldots$ $\newline$ Find the $37$ th term. $\newline$ Answer:

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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary). $\newline$ $403,395,387, \ldots$ $\newline$ Find the $37$ th term. $\newline$ Answer: