MCQ
Mark the correct alternative in the following:Two $A.P.'s$ have the same common difference. The first term of one of these is $8$ and that of the other is $3$. The difference between their $30_{th}$ term is:
- A$11$
- B$3$
- C$8$
- ✓$5$
✓
Answer
Correct option: D.
$5$
In two $A.P.'s$ common difference is same
Let A and a are two $A.P.'s$
First term of $A$ is $8$ and first term of a is $3$
$A_{30}-a_{30}=8+(30-1) d-3-(30-1) d$
$= 5 + 29d - 29d$
$= 5$
Let A and a are two $A.P.'s$
First term of $A$ is $8$ and first term of a is $3$
$A_{30}-a_{30}=8+(30-1) d-3-(30-1) d$
$= 5 + 29d - 29d$
$= 5$
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