What is the common difference d of the sequence? -15, -4, 7, 18, 29, question 1 options: 11 -11 12 -12 question 2 (1 point) what is the 8th term in the sequence? an=25−3n question 2 options: 1 59 -6 22 question 3 (1 point) which answer is the explicit rule for the sequence: 15.5, 13, 10.5, 8, 5.5, 3, ? question 3 options: an=18+2.5n an=18−2.5n an=15.5−2.5n an=15.5+2.5n question 4 (1 point) reggie has 195 trading cards in the first week. each week, he purchases 16 more trading cards. how many trading cards will he have in the 12th week? question 4 options: 387 371 -77 77 question 5 (1 point) what is the recursive rule for an=4n−1? question 5 options: a1=3; an=an−1+4 a1=4; an=an−1−1 a1=3; an=an−1−1 a1=−1; an=an−1+4

Question 1) Option 1

Question 2) Option 1

Question 3) Option 3

Question 4) Option 1

Question 5) Option 1

Step-by-step explanation:

Question 1) To calculate the common difference d of any sequence we subtract from for example =(-4) - (-15) = -4+15 = 11. Therefore option 1. (11) is the correct option for the sequence.

Question 2) If a sequence is

Then the 8th term of the sequence will be = 25-24 = 1. So option 1 is correct.

Question 3) Explicit rule for any arithmetic sequence is

Therefore option 3 is correct.

Question 4) Reggie has 195 cards in first week and 16 cards are added every week.

So from this question and common difference of the sequence is 16.

The sequence will be

After 12th week number of cards will be

So option 1 is correct.

Question 5) If the sequence is

Then

and

Common difference will be 7-3 =4

Therefore

Option 1. is the correct answer.

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step-by-step explanation: