Question

After the first term in the sequence below, each odd-numbered term can be found by multiplying the preceeding term by 3 and each even-numbered term can be found by multiplying the privious term by 1/3. What is the value of the 24th term? 210, 70, ...
A) 10
B) 20
C) 40
D) 70
E) 90

Answer 1

D) 70

Answer 2

why?

Answer 3

the third term is an odd term and is found by multiplying the previous term (70) by 3, 210. All even terms are equal to the previous term multiplied by 1/3 so the fourth term is 210*1/3= 70. The sequence repeats with odd terms being equal to 210 and even terms equaling 70. The 24th term is an even term and is therefore equal to 70.