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.