Pergunta
What is the 7th term in the sequence 2,5,8,11ldots 14 17 20 23
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CristianoAvançado · Tutor por 1 anos
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To find the 7th term in the sequence $2,5,8,11,\ldots$, we need to identify the pattern in the sequence.<br /><br />The sequence is an arithmetic sequence with a common difference of 3. <br /><br />To find the 7th term, we can use the formula for the nth term of an arithmetic sequence:<br /><br />$a_n = a_1 + (n-1)d$<br /><br />where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference.<br /><br />In this case, $a_1 = 2$, $n = 7$, and $d = 3$.<br /><br />Substituting these values into the formula, we get:<br /><br />$a_7 = 2 + (7-1) \cdot 3$<br /><br />$a_7 = 2 + 6 \cdot 3$<br /><br />$a_7 = 2 + 18$<br /><br />$a_7 = 20$<br /><br />Therefore, the 7th term in the sequence $2,5,8,11,\ldots$ is 20.
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