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3. Find the 22nd term of the following sequence: 5,8,11,ldots (Hint: write the correct formula and plug in n=22 or make a list) a) 14 b) 68 c) 63 d) 71

Pergunta

3. Find the 22nd term of the following sequence: 5,8,11,ldots 
(Hint: write the correct formula and plug in n=22 or make
a list)
a) 14
b) 68
c) 63
d) 71

3. Find the 22nd term of the following sequence: 5,8,11,ldots (Hint: write the correct formula and plug in n=22 or make a list) a) 14 b) 68 c) 63 d) 71

Solução

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EugêniaProfissional · Tutor por 6 anos

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To find the 22nd term of the sequence, 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, the first term $a_1$ is 5 and the common difference $d$ is 3 (since each term increases by 3).<br /><br />Plugging in $n=22$ into the formula, we get:<br /><br />$a_{22} = 5 + (22-1) \cdot 3 = 5 + 63 = 68$<br /><br />Therefore, the 22nd term of the sequence is 68.<br /><br />The correct answer is b) 68.
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