Problema Solution

find the 10th term of the sequence: 3,6,12

Answer provided by our tutors

We will assume that the sequence is geometric:


a1 = 3


a2 = a1*r, where r is the common ratio


6 = 3*r


r = 6/3


r = 2


Indeed for 3rd term a3 we have:


a3 = a1*r^2


a3 = 3*2^2


a3 = 12


Thus for the n th term we have:


an = a1*r^(n - 1)


for the 10th term we have:


a10 = a1*r^(10 - 1)


a10 = a1*r^9


a10 = 3*2^9


a10 = 1,536


the 10th term of the sequence is 1,536.