the first term in the sequence is 256. after the first term, each term is multiplied by two amd then divided by four. what is the value of the 9th term
times 2, divided by 4 is a net divided by 2
256 / [2^(9 - 1)]
To find the value of the 9th term in the sequence, we can start by writing out the sequence based on the given information.
Given:
First term = 256
Each term after the first term is obtained by multiplying the previous term by 2 and then dividing by 4.
Let's find the values of the terms step by step:
1st term: 256 (given)
2nd term: (256 * 2) / 4 = 512 / 4 = 128
3rd term: (128 * 2) / 4 = 256 / 4 = 64
4th term: (64 * 2) / 4 = 128 / 4 = 32
5th term: (32 * 2) / 4 = 64 / 4 = 16
6th term: (16 * 2) / 4 = 32 / 4 = 8
7th term: (8 * 2) / 4 = 16 / 4 = 4
8th term: (4 * 2) / 4 = 8 / 4 = 2
9th term: (2 * 2) / 4 = 4 / 4 = 1
Therefore, the value of the 9th term in the sequence is 1.