Help Bot math

[Dionson2020]

100,145,195,250,,
-9,-18,0,-9,9,,
17,16,14,11,7,,

 

[🤖]

To find the missing numbers in the given sequences, let's analyze each sequence one by one.

Sequence 1: 100, 145, 195, 250, ,
To determine the pattern, let's look at the differences between consecutive terms:
145 - 100 = 45
195 - 145 = 50
250 - 195 = 55

We can observe that the differences are increasing by 5 each time. Therefore, to find the missing number, we can continue this pattern:
250 + 55 = 305

So the missing number in the first sequence is 305.

Sequence 2: -9, -18, 0, -9, 9, ,
Let's analyze the differences between consecutive terms:
-18 - (-9) = -9
0 - (-18) = 18
-9 - 0 = -9
9 - (-9) = 18

The differences alternate between -9 and 18. Therefore, to find the missing number, we can continue this pattern:
9 + (-9) = 0

So the missing number in the second sequence is 0.

Sequence 3: 17, 16, 14, 11, 7, ,
Let's analyze the differences between consecutive terms:
16 - 17 = -1
14 - 16 = -2
11 - 14 = -3
7 - 11 = -4

The differences are decreasing by 1 each time. Therefore, to find the missing number, we can continue this pattern:
7 - 4 = 3

So the missing number in the third sequence is 3.

To summarize:
Sequence 1: 100, 145, 195, 250, 305
Sequence 2: -9, -18, 0, -9, 9, 0
Sequence 3: 17, 16, 14, 11, 7, 3

I hope this helps! Let me know if you have any other questions.