10 Question MCQ (including Assertion)

In an AP if \(a=-7.2, d=3.6, a_{\mathrm{n}}=7.2\), then \(n\) is

In an AP representing the daily temperature drop during a cold spell, the 5 th day's temperature was \(10^{\circ} \mathrm{C}\) and the \(10^{\text {th }}\) day's was \(5^{\circ} \mathrm{C}\). What does this imply about the progression?

Assertion (A): The sum of the first 20 terms is equal to the sum of the first 30 terms for an AP whose first term is 25 and common difference is -2 .
Reason (R): The sum of terms from the 21st to the 30th is zero.

If the first term of an AP is -5 and the common difference is 2 , then the sum of the first 6 terms is

Assertion (A): The list of numbers \(5,5,5,5, \ldots\) is an Arithmetic Progression
Reason (R): A sequence is an AP if its terms continuously increase or decrease.

Two APs have the same common difference. The first term of one of these is -1 and that of the other is -8 . Then the difference between their \(4^{\text {th }}\) terms is

If the last term of the AP representing a company's annual profit (in lakhs) \(2,5,8, \ldots\) is 59 , what does finding the value of ' \(n\) ' tell you?

Assertion (A): A circle is divided into 10 sectors whose angles are in AP. If the smallest angle is \(8^{\circ}\), the largest angle is \(64^{\circ}\).
Reason (R): The sum of all angles at the center of a circle is \(360^{\circ}\).

The graph below shows the value of an investment over time. The value increases by a fixed amount each year. What does the slope (gradient) of this line represent in the context of an AP?