Class 11th Mathematics, Geometric Progression
Example – Geometric Progression
Practice Questions: Finding the nᵗʰ Term of a G.P. Question 1. Find the 7ᵗʰ term of the series 2, 4,…
Class 11th Mathematics, Geometric Progression
Geometric Progression and its nth Term
1. What is a Geometric Progression (G.P.)? A sequence of numbers is called a Geometric Progression if each term after
Arithmetic Progression, Class 11th Mathematics
Example 4 Sum of A.P.
Practice Questions with Step-by-Step Solutions Question 1. The sum of n terms of two A.P.s are in the ratio [
Arithmetic Progression, Class 11th Mathematics
Example 3 Sum of A.P.
Practice Questions with Step-by-Step Solutions Practice Question 1. If the sum of 5 terms of an A.P. is 25 and
Arithmetic Progression, Class 11th Mathematics
Sum of Arithmetic Progression
1. What is Meant by Sum of First n Terms? If an Arithmetic Progression (AP) is [a, a + d,
Class 12th Mathematics, Increasing and Decreasing Function
Example Set 1 – Increasing and Decreasing Function
Question 1. Determine where [f(x)=x^{2}-4x+1] is increasing and decreasing. Step-by-step Solution: Compute derivative: [\dfrac{d}{dx}f(x)=2x-4]. Find critical point: solve [2x-4=0] ⇒
Class 12th Mathematics, Increasing and Decreasing Function
Wavy Curve Method or Sign Scheme for Rational Functions
1. Concept Overview The wavy curve method (also called the sign scheme method) is a systematic way of determining where
Class 12th Mathematics, Increasing and Decreasing Function
Decreasing Function Example
Question 1. Determine where [f(x)=x^{2}-4x+1] is increasing and decreasing. Step-by-step solution: [\dfrac{d}{dx}f(x)=2x-4]. Critical point: solve [2x-4=0] ⇒ [x=2]. Test intervals:
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