Write a rule for the following sequence 8,-1,-10,-19
looks like the terms are decreasing by 9
so start with
Term(n) = -9n , for n = 1, 2, 3, ...
but when n =1, this gives me -9, it should be +8
So what must you do to my partial answer to make it work?
To find the rule for the given sequence 8, -1, -10, -19, we can observe that each term is obtained by subtracting 9 from the previous term. Therefore, the rule for the sequence is to subtract 9 from the previous term to get the next term.
To find a rule for the given sequence, we need to identify the pattern between the terms. When we observe the sequence closely, it appears that each term is decreasing by 9.
To express this pattern as a rule, we can use the term "n" to represent the position of a term in the sequence. Therefore, the rule for this sequence is:
nth term = 8 - (n-1) * 9
To find a specific term, substitute the position "n" into the expression above. For example, to find the 5th term, replace "n" with 5:
5th term = 8 - (5-1) * 9
= 8 - 4 * 9
= 8 - 36
= -28
So, the 5th term of this sequence is -28.