The first difference of a sequence is 8, 12, 16, 20,... The sum of the first two terms of the original sequence is 14. Find the first three terms of the original sequence.

The first term of the original sequence is? 4
What is the second term of the original sequence? 8
What is the third term of the orignal sequence? ???

the first sum is 14...

differences are always multiple of 4, or
2,3,4,5... so going backwards, 3,2,1 times 4..
first term has to be 4, the second 8 more
4,8, the third term is 12 more
4,8,20 and so on.

To find the third term of the original sequence, we can use the given information about the first difference.

We know that the first difference of the sequence is 8, 12, 16, 20. This means that each term of the sequence increases by these amounts.

To find the third term of the original sequence, we can start with the second term (8) and add the second difference (12) to it. This gives us:

8 + 12 = 20

Therefore, the third term of the original sequence is 20.