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What is the 7th term in the sequence 2,5,8,11ldots 14 17 20 23

Pergunta

What is the 7th term in the
sequence 2,5,8,11ldots 
14
17
20
23

What is the 7th term in the sequence 2,5,8,11ldots 14 17 20 23

Solução

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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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