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.

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step-by-step explanation: