In the sequence below the first term is 2 and each term after the first is k times the preceding term where k is a constant. what is the value of the 52nd term divided by the 50th term?
heres the answer to this question but can someone explain more clearly how to get this answer i still don't understand the explanation given.
the correct answer is 36. since each term after the first is k times the preceding term, and 2 and 12 are the first and second terms, respectively, it follows that 2k = 12, or k = 6. thus each term in the sequence after the first is 6 times the preceding term. hence the 51st term of the sequence is 6 times the 50th term, and the 52nd term of the sequence is 6 times the 51st term. so if the value of the 50th term of the sequence is called x, the value of the 51st term is 6x, and the value of the 52nd term is 6(6x) = 36x. therefore, the value of the 52nd term divided by the 50th term is 36.