The third term in a sequence is 11.The term-to-term rule is “take away 4”.Write an expression, in terms of n, for the nth term of the sequence

Answer:a(n) =  a(n - 1) - 4, with a(1) = 19  Step-by-step explanation:If the rule for finding each new term is "take away 4," then this is an arithmetic sequence with first term a(1) (unknown) and third term 11.  The "common difference" is -4.Then the formula for this arithmetic sequence is found as follows:The third term is 11.  The previous (second) term is 4 greater, or 15.  The first term (coming before 15) is 19. Thus, the general formula is a(n) =  a(n - 1) - 4, with a(1) = 19  Check:  Does a(1) come out to 19?  Is 19 - 4(1 - 1) = 19?  YESDoes a(2) come out to 15?  Is 19 - 4 = 15?  YESDoes a(3) come out to 11?  Is 15 - 4 = 11?  YES