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# What is a possible explicit rule for the nth term of the sequence: ##25, 15, 5, -5, -15##?

##a_n = 25-10(n-1)##

An is a sequence in which there is a constant difference between successive terms. Given an arithmetic sequence with initial term ##a_1## and a constant difference ##d## we can write the ##n^"th"## term as ##a_n = a_1+d(n-1)##

In this case, as each term is ##10## less than the previous term, the sequence is potentially an arithmetic sequence with initial term ##25## and constant difference ##-10##, meaning we would have ##a_n = 25 -10(n-1)##