Problem

0.59 points Use a formula to determine the $24^{\text {th }}$ term of the sequence. $11,14,17, \ldots$

Solution

Step 1 :The sequence appears to be an arithmetic sequence with a common difference of 3.

Step 2 :To find the 24th term, we can 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, and \(d\) is the common difference.

Step 3 :Given: \(a_1 = 11\), \(d = 3\), \(n = 24\)

Step 4 :Substitute the given values into the formula: \(a_n = 11 + (24-1) \cdot 3\)

Step 5 :Calculate the 24th term: \(a_n = 11 + 23 \cdot 3\)

Step 6 :Calculate the 24th term: \(a_n = 11 + 69\)

Step 7 :Calculate the 24th term: \(a_n = 80\)

Step 8 :Final Answer: \(\boxed{80}\)

From Solvely APP
Source: https://solvelyapp.com/problems/I4Gz8dUpD3/

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