Question

What is the correct answer and how can this be solved?

Answer 1

Answer:

$\boxed{\displaystyle \frac{1}{19}}$

Step-by-step explanation:

$\displaystyle \frac{n+2}{2n^2 +3n-2}$

Replace n with 10 to find the 10th term.

$\displaystyle \frac{10+2}{2(10)^2 +3(10)-2}$

Evaluate.

$\displaystyle \frac{12}{2(100) +30-2}$

$\displaystyle \frac{12}{200 +30-2}$

$\displaystyle \frac{12}{228}$

Simplify.

$\displaystyle \frac{1}{19}$

Answer 2

Answer:

$\mathbf{\frac{1}{19} }$

Step-by-step explanation:

$\bullet \Nth \ Term;\\ \frac{n+2}{2n^{2} +3n-2}$

$\bullet U_{10} \ Term;\\\\ \boxed{\frac{(10+2) }{2*10^{2} +3*10-2}= \frac{1}{19} }$