Home
Class 12
MATHS
STATEMENT-1 : If the infinite A.G.P. 1, ...

STATEMENT-1 : If the infinite A.G.P. 1, ` sqrt(3) , 2 , x …..` has a finite sum , then x = 2 and
STATEMENT-2 : the infinite A.G.P. a , ` ( a + d( r, (a + 2d) r^(2) ……` has a finite sum only if `|r| lt 1` .

A

Statemant-1 is True , Statement-2 is True, Statement -2 is a correct explanation for Statement-1

B

Statemant-1 is True , Statement-2 is True, Statement -2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Stetement-2 is False.

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - G) Integer|6 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - H) True/False|5 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - D) Linked Comprehension|12 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

An infinite G.P. has 2^(nd) term x and its sum is 4 . Then x belongs to

If sum of the infinite G.P. p+1+(1)/(p)+(1)/(p^(2))+… (p gt 2) is 49/6, then sum of the 3rd term and the 4th term of the G.P. is

Sum of an infinite G.P. is 2 and sum of their cubes is 24, then 5th term of the G.P. is

An infinite G.P.has first term as a and sum 5, then

Statement 1: If an infinite G.P. has 2nd term x and its sum is 4, then x belongs to (-8,1)dot Statement 2: Sum of an infinite G.P. is finite if for its common ratio r ,0<|r|<1.

The sum of an infinite numbers of a G.P. is 2 and the sum of their cubes is 24. The second term of the G.P. is

If a,ar,ar^(2),ar^(3),....... are in G.P,then the sum of infinite terms of GP, if |r|<1 =

If sum of an infinite G.P.p,1,1/p,1/p^(2),...,is9/2 then value of p is a.3 b.3/2 c.3 d.9/2