JIPMAT - Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The sum of n terms of the Progression 1+1/2+12^2+12^3+ is 2^n-1-12^n-1. Reason (R) : Sum of a geometric series having n terms is given by S_n=a(1-r^n)1-r, where a is the 1^st term and r is the common ratio. | PYQs + Solutions

JIPMAT

Algebra

Medium

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of (A).

Both Assertion (A) and Reason (R) are true but Reason (R) is NOT the correct explanation of (A).

(A) is true but (R) is false.

(A) is false but (R) is true.

✅ Correct Option: 4

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JIPMAT 2023

Assertion [A]: Sum of the first hundred even natural numbers divisible by 5 is 45050.
Reason (R): Sum of the first n-terms of an Arithmetic Progression is given by $S = (n/2) *(a + l)$ where a=first term, l=last term.
Choose the correct answer from the options given below.

JIPMAT 2021

The value of $(\frac{1}{\sqrt{9}-\sqrt{8}} - \frac{1}{\sqrt{8}-\sqrt{7}} + \frac{1}{\sqrt{7}-\sqrt{6}} - \frac{1}{\sqrt{6}-\sqrt{5}} + \frac{1}{\sqrt{5}-\sqrt{4}})$ is

JIPMAT 2021

If the $m^{\text{th}}$ term of an arithmetic progression is $\frac{1}{n}$ and the $n^{\text{th}}$ term is $\frac{1}{m}$ , then the $mn^{\text{th}}$ term of this progression will be

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