# How do you find the common difference and the three terms in the sequence given -25, -35, -45, -55,...?

Apr 7, 2017

$d = - 10$

#### Explanation:

The common difference is the difference between any two consecutive terms in an arithmetic sequence.

You can find it by subtracting any term from the next term.

FOr example: $\text{ "d = T_4-T_3. " Or in general } {T}_{n} - {T}_{n - 1}$

$d = - 55 - \left(- 45\right) = - 10$

This agrees with what we can see that the terms are getting smaller, with a difference of 10 every time.

$- 25 + \left(- 10\right) = - 35 . . e t c$

It is not clear which three terms are being asked for.