Use inductive reasoning to predict the next term in the sequence. -2/3 1/3. -1/6 1/ a -1/2 b -1/12 c -1/18 d -1/24

Question says to use inductive reasoning to predict the next term in the given sequence. -2/3, 1/3, -1/6, 1/12.....

Given sequence can be in AP or GP or any other sequece.

Let's test for GP (Geometric progression)

divide 2nd term by first

similarly divide consecutive terms

all the time we are getting same common ratio -1/2 so that means given sequence is in GP.

Hence we just need to multiply last term by -1/2 to get the

Hence final answer is -1/24.

hi

step-by-step explanation: