Question

Find the 59th term of the arithmetic sequence 26,17,8

Answer 1

-496

StepBy Step Explanation;

Answer 2

-496

Explanation:

The direct formula for the nth term of an arithmetic sequence is given by the formula:

`x_n=a\cdot d(n-1)`

Where a is the initial term, d is the common ratio, and n is the nth term.

Let's find a and d.

From the sequence, we can see that the initial term or a is 26.

Also, each subsequent term is 9 less than the previous term. In other words, our common ratio is -9.

Therefore, our direct formula is:

`x_n=26-9(n-1)`

To find the 59th term, substitute 59 for n:

`x_(59)=26-9(59-1)`

Subtract:

`x_(59)=26-9(58)`

Multiply:

`x_(59)=26-522`

Subtract:

`x_(59)=-496`

So, the 59th term is -496.

And we're done!