Write the next three terms of the arithmetic sequence: 161, 152, 143, and 134.
For an arithmetic sequence, in order to get from one term to the following, we will be adding or subtracting a number. And to get the next term, we will be adding or subtracting that exact same number. And in order to find this number, we will take a term and subtract the previous term from it. So 152 subtracting 161 gives us negative nine.
So now let’s check with the others. 143 minus 152 is negative nine. And 134 minus 143 that’s equal to negative nine. So in order to get the next three terms, we need to keep subtracting nine. 134 minus nine is 125, 125 minus nine is 116, and 116 minus nine is 107. Therefore, the next three terms of our sequence would be 125, 116, and 107.