Write an equation for the n th term of the arithmetic seqeuence. Then find a10
a
10
.

1/2,1,11/2,2

Given:

The arithmetic sequence is

To find:

The nth term of the given arithmetic sequence and then find .

Solution:

We have,

Here,

First term:

Common difference:

nth term of an arithmetic sequence is

where, a is first term and d is common difference.

Now, put n=10, to find .

Therefore, the nth term of the given arithmetic sequence is and the value of is 5.

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2