Explanation:
To solve these problems, just figure out the sequence, multiply, then add.
In the first problem, the terms progress by -3
So, the 5th term would be -3 x 4 + -19:
-3 x 4 = -12 -12 + -19 = -31 The 5th term is -31.
Do the same for the 9th and 100th term:
-3 x 8 = -24 - 24 + -19 = -43 The 9th term is -43.
-3 x 99 = -297 - 297 + -19 = -316 The 100th term is -316.
For the second problem, The numbers progress by + 10.
So let's do the same thing as last time!
The 5th term is 44.
The 9th term is 84.
The 100th term is 994.
In this last problem, the sequence is geometric.
How?
Each number is multiplied by -6.
-6 x -1 = 6
-6 x 6 = -36
-6 x -36 = 216
And the next number would be:
-6 x 216 = -1,296