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

1 Answer
Apr 7, 2017


#d = -10#


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: #" "d = T_4-T_3. " Or in general " T_n- T_(n-1)#

#d = -55-(-45) = -10#

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

#-25 +(-10) = -35 ..etc#

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