Question

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

Answer 1

Answer:

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.