High School

Evaluate the following limit:

\[
\lim_{(x,y) \to (2,9)} 159
\]

Select the correct choice below and, if necessary, fill in the blank.

A. \(\lim_{(x,y) \to (2,9)} 159 =\) (Simplify your answer.)

B. The limit does not exist.

Answer :

The 11th term of the arithmetic sequence is 34. Hence, the correct option is C.

To find the 11th term of an arithmetic sequence, you can use the formula:

nth term = first term + (n - 1) * difference

Given that the first term is -6 and the difference is 4, we can substitute these values into the formula:

11th term = -6 + (11 - 1) * 4
= -6 + 10 * 4
= -6 + 40
= 34

Therefore, the 11th term of the arithmetic sequence is 34. Hence, the correct option is C.

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