Tag: JEE Mains

Q-1) Find the sum of , where . Solution: We have    Q-2) Find the sum of Solution: We have the factors in the denominator in AP. In this case, what we normally do is to multiply and divide with the difference of the first factor and the last. Thus If we define , we have… Continue reading

1.1 Introduction to infinite series’ We have introduced the concept of infinite series’ in our last modules. We have also briefly talked about the convergence of an infinite Geometric Series. The concept of convergence of a series is something that we have taken up in our advanced section of this module. To give an idea, here… Continue reading

1.1 Logarithms of Progressions and basic properties We define the natural logarithm of a postive number as . Logarithm of a negative number is not defined. Let’s recollect the basic properties of natural logarithms: Ex -1 If  be 3 reals in GP, show that  are in HP Solution: We have , which implies  are in AP.… Continue reading

1.1 Introduction to Series & Sequences In Mathematical Analysis, a sequence is defined to be an ordered collection of terms/objects. This colelction or list can either be finite, or infinite. Thus we have both finite & infinite sequences. Often we define sequences by a recursive formula with some base conditions. Thus let’s consider with is… Continue reading