What is the 7th term in the sequence 2,5,8,11ldots ? 14 17 20 23 Evaluate vert -5x+3vert when x=1 2 5 ) -2 o

The correct answer for the first question is 23.<br /><br />To find the 7th term in the sequence $2,5,8,11,\ldots$, we can observe that 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 $d = 3$. Plugging these values into the formula, we get:<br /><br />$a_7 = 2 + (7-1) \cdot 3 = 2 + 6 \cdot 3 = 2 + 18 = 20$<br /><br />Therefore, the 7th term in the sequence is 20.<br /><br />The correct answer for the second question is 2.<br /><br />To evaluate $\vert -5x+3\vert$ when $x=1$, we can substitute $x=1$ into the expression:<br /><br />$\vert -5(1)+3\vert = \vert -5+3\vert = \vert -2\vert = 2$<br /><br />Therefore, the value of $\vert -5x+3\vert$ when $x=1$ is 2.