Multiple Choice What are the next two terms of the following sequence? 1, 5, 9, … (1 point) Responses 27, 211 27, 211 10, 11 10, 11 12, 15 12, 15 13, 17
The given sequence has a pattern where each term is 4 more than the previous term.
The first term is 1. Adding 4 to it gives the second term, which is 1 + 4 = 5. Adding 4 to the second term gives the third term, which is 5 + 4 = 9.
To find the next term, we add 4 to the third term: 9 + 4 = 13.
To find the term after that, we add 4 to 13: 13 + 4 = 17.
Therefore, the next two terms of the sequence are 13 and 17.
The correct answer is: 13, 17
What is the common difference of the following arithmetic sequence? 102, 100, 98, 96… (1 point) Responses 2 2 –2 –2 –1 –1 102
What is the ninth term of the arithmetic sequence defined by the rule below? A(n) = –14 + (n – 1)(2) (1 point) Responses 232 232 230 230 2 2 4
To determine the next two terms of the sequence 1, 5, 9, ..., we need to identify the pattern. From the given terms, we can observe that each term is increasing by 4.
So, to find the next term, we add 4 to the last term of the sequence:
9 + 4 = 13
Therefore, the next term in the sequence is 13.
To find the term after that, we again add 4 to the previous term:
13 + 4 = 17
Therefore, the two missing terms in the sequence are 13 and 17. Thus, the correct answer is "13, 17".