Answer:
Question 1) Option 1
Question 2) Option 1
Question 3) Option 3
Question 4) Option 1
Question 5) Option 1
Step-by-step explanation:
<u>Question 1)</u> 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.
<u>Question 2)</u> If a sequence is
Then the 8th term of the sequence will be = 25-24 = 1. So option 1 is correct.
<u>Question 3)</u> Explicit rule for any arithmetic sequence is
Therefore option 3 is correct.
<u>Question 4)</u> 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.
<u>Question 5)</u> If the sequence is
Then
and
Common difference will be 7-3 =4
Therefore
Option 1. is the correct answer.