0

Guest

Courses New

Solve:(1+1/2)(1+1/4)(1+1/16)(1+1/256).....infinity?

Solve:(1+1/2)(1+1/4)(1+1/16)(1+1/256).....infinity?

Grade:10

2 Answers

Vivek
70 Points
6 years ago
Answer is infinite. These you will learn in sequence and series when you will learn divergent and convergent sequence. There you will find its answer here it is difficult to explain this will come in college 1st year
sahil
142 Points
6 years ago
see the answer is not infinity its convergence it can be calculated by limit.Here is ansIf you multiply it by (1-1/2) that is by 1/2 you see (1-1/2)(1+1/2)(1+1/4)....=(1-1/4)(1+1/4)(1+1/16)...=(1-1/16)(1+1/16)(1+1/256)... you will keep going and get finally (1-1/infinity) taking limit (1-1/infinity)=1 now divide by 1/2 as you mutiplied early givind answer 2.[Hence answer is 2]

Think You Can Provide A Better Answer ?

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More