Final answer:
The sequence generated by the rule '2n+5' would be 7 for the 1st term, 9 for the 2nd, 11 for the 3rd, 13 for the 4th, and 15 for the 5th. The nth term would be represented as '2n+5'. This corresponds to option A in the given question.
Step-by-step explanation:
To generate a sequence for the rule '2n+5' and to complete the table for each term, you will substitute each term's position into the formula. Here is how it is done step by step:
- For the 1st term, substitute n=1 into the formula: 2(1)+5 = 7
- For the 2nd term, substitute n=2 into the formula: 2(2)+5 = 9
- For the 3rd term, substitute n=3 into the formula: 2(3)+5 = 11
- For the 4th term, substitute n=4 into the formula: 2(4)+5 = 13
- For the 5th term, substitute n=5 into the formula: 2(5)+5 = 15
The nth term of the sequence, as given by the rule, will always be '2n+5'. Therefore, the completed sequence is:
- 1st term: 7
- 2nd term: 9
- 3rd term: 11
- 4th term: 13
- 5th term: 15
- nth term: 2n+5
Comparing the options given, the correct sequence matches option A: 7; 9; 11; 13; 15; 2n+5.