Question

Find the 11th term of the arithmetic sequence -5x-5,-8x-11,-11x-17, ...

Answer 1

-35x - 65

Explanation:

In an arithmetic sequence, the nth term of the sequence is given by
`a_(n) = a_(1) + (n-1)d` where
`a_(1)` is the first term (-5x -5 in this problem) and d is the difference between terms (-3x -6 in this case). We wish to find the 11th term, so plugging in 11 as n, we get
`a_(11) = -5x - 5 + (10)(-3x-6)` which equals -35x - 65