The 28th term of sequence is -109
<em><u>Solution:</u></em>
Given sequence is:
-1, -5, -9, -13
Let us first find the difference between the terms
-5 - (-1) = -5 + 1 = -4
-9 - (-5) = -9 + 5 = -4
-13 - (-9) = -13 + 9 = -4
Thus the difference between the terms remains constant
This is a arithmetic sequence
<em><u>The nth term of arithmetic sequence is given by formula:</u></em>
Where,
is the nth term of sequence
is the first term of sequence
d is the common difference between terms
Here, -1, -5, -9, -13
First term = = -1
d = -4
<em><u>Substituting the values in formula,</u></em>
<em><u>To find 28th term, substitute n = 28</u></em>
Thus the 28th term of sequence is -109