List of top Mathematics Questions on Arithmetic Progression asked in CBSE Class X

Assertion (A): The sum of the first fifteen terms of the AP $21, 18, 15, 12, \dots$ is zero.
Reason (R): The sum of the first $n$ terms of an AP with first term $a$ and common difference $d$ is given by: $$S_n = \frac{n}{2} \left[ a + (n - 1) d \right].$$

How many terms of the $A.P.$ $27, 24, 21, . . .$ must be taken so that their sum is 105? Which term of the A.P. is zero?

In an A.P., if $a = 8$ and $a_{10} = -19$, then value of $d$ is:

Assertion (A): The sum of the first fifteen terms of the AP $21, 18, 15, 12, \dots$ is zero.
Reason (R): The sum of the first $n$ terms of an AP with first term $a$ and common difference $d$ is given by: $$S_n = \frac{n}{2} \left[ a + (n - 1) d \right].$$

How many terms of the $A.P.$ $27, 24, 21, . . .$ must be taken so that their sum is 105? Which term of the A.P. is zero?

In an A.P., if $a = 8$ and $a_{10} = -19$, then value of $d$ is: