Answer:
Question 1) Option 1
Question 2) Option 1
Question 3) Option 3
Question 4) Option 1
Question 5) Option 1
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.