An arithmetic sequence is represented in the following table. Enter the

missing term of the sequence.

1 2 3 4 26

y - 103 - 94 - 85 - 76?

122

Step-by-step explanation:

An arithmetic sequence means a number is added each term. There is a term for where a number is multiplied as well. But in this case the first number is - 103, the second number is - 94 and the third number is - 85. Can you tell what number is added each time?

The number is 9. - 103+9=-94 and - 94+9=-85 and so on. Now we want a way to find the term way further down the line.

Think of it doing it all at once. - 103+9+9 gets us the third term right? so that's 2*9. - 103+3*9 would get us the fourth. Hopefully that makes sense, but let me know if it doesn't. But for a few more examples, if we want the fifth term we would do - 103+4*9 and getting the tenth would need - 103+9*9. So basically we take the number term we want (in this case we want the 26th) and then take - 103 + n*9, where n is the term we want minus 1, or in this case 25. so that's - 103+25*9

Let me know if you need more of an explanation.