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Two APs have same common difference. The first term of one of these is -1 and that of the other is - 8. Then the difference between their 4th term is 
  • a)
    -1
  • b)
    -8
  • c)
    7
  • d)
    -9
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two APs have same common difference. The first term of one of these is...
Correct Answer :- c
Explanation : ad1 = -1
ad2 = -8
4th term of ad1 is 
a4 = a + 3d
a4 = -1 + 3d.....(1)
Similarly ad2 is
a4 = -8 + 3d.......(2)
Subtracting (2) from (1), we get
-1 + 3d -(-8 + 3d)
=> 7
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Most Upvoted Answer
Two APs have same common difference. The first term of one of these is...
Solution:

Given information:
- Two APs have the same common difference.
- The first term of one of the APs is -1.
- The first term of the other AP is -8.

To find:
The difference between their 4th terms.

Let's denote the common difference of the APs by 'd'.

First AP:
The first term of this AP is -1.
So, the second term will be -1 + d.
The third term will be -1 + 2d.
The fourth term will be -1 + 3d.

Second AP:
The first term of this AP is -8.
So, the second term will be -8 + d.
The third term will be -8 + 2d.
The fourth term will be -8 + 3d.

Difference between their 4th terms:
The difference between the fourth terms of the two APs can be found by subtracting the fourth term of the second AP from the fourth term of the first AP.

(-1 + 3d) - (-8 + 3d)
Simplifying, we get:
-1 + 3d + 8 - 3d
Combining like terms, we get:
7

Therefore, the difference between the fourth terms of the two APs is 7. Hence, the correct answer is option C.
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Two APs have same common difference. The first term of one of these is...
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Two APs have same common difference. The first term of one of these is -1 and that of the other is - 8. Then the difference between their 4th term isa)-1b)-8c)7d)-9Correct answer is option 'C'. Can you explain this answer?
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