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). 460,451,442,dots Find the 46th 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).  460,451,442,dots Find the 46th 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. 460 - 451 = 9Verify consistency: Now, we subtract the third term from the second term to verify that the common difference is consistent. 451 - 442 = 9Confirm arithmetic sequence: Since the common difference is consistent, we can confirm that this is an arithmetic sequence with a common difference of 9.Use nth term formula: To find the 46th 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_46 = 460 + (46 - 1)(-9), since the sequence is decreasing, the common difference is negative.Calculate parentheses: Now we calculate the value inside the parentheses: 46 - 1 = 45.Multiply common difference: Next, we multiply the common difference by 45: 45 * (-9) = -405.Add to find 46th term: Finally, we add this value to the first term to find the 46th term: 460 + (-405) = 55.Final result: The 46th term of the sequence is 55, which is a whole number and does not need to be rounded.

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). $\newline$ $460,451,442, \ldots$ $\newline$ Find the $46$ th term. $\newline$ Answer:

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