The sequence of the terms is -7,-1+5, and +11. A series is a collection of sequences.
What is the difference between a sequence and a series?
A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other.
Given equation ;
[tex]\rm a_n = a_{n-1}+6[/tex]
If,
[tex]\rm a_1 = -13[/tex]
The next term in the sequence is;
[tex]\rm a_2 = a_{2-1}+6 \\\\ \rm a_2 = a_{1}+6 \\\\ a_2 = -13 +6 \\\\ a_2 =-7[/tex]
[tex]\rm a_3 = a_{3-1}+6 \\\\ \rm a_3 = a_{3}+6 \\\\ a_3 = -7 +6 \\\\ a_3 =-1[/tex]
[tex]\rm a_4 = a_{4-1}+6 \\\\ \rm a_4 = a_{3}+6 \\\\ a_4 = -1 +6 \\\\ a_4 =+5[/tex]
[tex]\rm a_5 = a_{5-1}+6 \\\\ \rm a_5 = a_{4}+6 \\\\ a_5 = 5 +6 \\\\ a_5 =11[/tex]
Hence, the sequence of the terms is -7,-1+5, and +11.
To learn more about the sequence, refer to https://brainly.com/question/9737262.
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