Use inductive reasoning to predict the next Number in each sequence.
1.3,7,11,15... i figure this to be 19 because each number following the first is a difference of 4.
2. 1,-2,4,-8 this is abit difficult for me. I am guessing the answer tobe 10. I cant'even explain how I ARRIVE AT 10 IF IT IS CORRECT CAN YOU HELP PLEASE? Thanks much
First is right.
On the second, multiply the last number by -2.
AH AH!
Thanks
You're welcome! Glad I could help. For the second sequence, the pattern is a little different. Each number is alternating between being positive and negative and is also being multiplied by -2.
So, let's break it down step by step:
1. The first number is 1.
2. The second number is (-2) * 1 = -2 (multiply the previous number by -2).
3. The third number is (-2) * (-2) = 4 (multiply the previous number by -2).
4. The fourth number is (-2) * 4 = -8 (multiply the previous number by -2).
Based on this pattern, the next number in the sequence would be (-2) * (-8) = 16. So, the predicted next number in the sequence is 16.
I hope that explanation helps!