for concept building and application based problem solving learning....what is best for 8th class student....been going thru lot online sites.
Hello Aspirant
Concept based learning is driven by big ideas rather than subject or topic specific information, also application based problem solving refers to application of theoretical knowledge into practical life.
As you are a 8th class student, it's High time for you to adapt these skills as it's the future of learning in India as per new education policy.
In adaptation of these, you teachers will be helping you, also from your side you should also do some efforts to learn it.
Instead of learning a topic, try to understand it's it's roots, understand it from basics so that you can answer every question related to that topic. Build up conceptual knowledge and it'll help you to solve application based problem because once it's basics are clear to you, you can fit yourself in the situation of problem and think about the positive answers to the problem.
Also try to read articles in newspapers, it'll help you to build up a fast reading and fast understanding skills
Hope this information would be helpful for you.
All the best for your bright future ahead.
the sum of first n terms of series 1/2+3/4+7/8+5/16---is equal to
Hello!!
Hope you are doing great!!!
Given series:1/2+3/4+7/8+15/16+...........
It can be written as,
=(1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)+...............n
=(1-1/2)+(1-1/2^2)+(1-1/2^3)+(1-1/2^4)+..............(1-1/2^n)
taking like terms common,
=(1+1+1+...........n) - (1/2+1/2^2+1/2^3+1/2^4............)
=n - (1/2+1/2^2+1/2^3+1/2^4............)
The above series is in GP
The sum of GP can be given by the formula a(1-r^n) / 1-r
=n - 1/2(1-1/2^n) / 1-1/2
=n - (1-1/2^n)
=n - 1+1/2^n
Hope it helps you!!!
Thank you!!!
the sum of first 20 terms of sequence 0.7,0.77,-- is
Hey Divya
Solution (S):
S = 0.7+0.77+0.777+....0.7777
=7(0.1+0.11+0.11+0.111+.......+0.1111....)
= 79[0.9+0.99+0.99+0.999+...........)
=79[(1−0.1)+(1−0.01)+....+(1−0.000......1)]
=7/9 * [20 − (1 / 10+1 / 10^2+......1 / 20^20)]
Therefore, a= r = 1/10
=7/ 9* [20−1/9 * (1−10^−20)
=7 / 81 * [179 + 10^−20] -> Answer
1+3/2+5/4+7/8+---is equal to--
Hello!!!
Hope you are doing great!!!
Given series = 1+3/2+5/4+7/8.........
=1+3/2+5/4+7/8+9/16+11/32+..........
multiply and divide by 2
=2(1+1/2+1/4+1/8+1/16+1/32+............)
=2+2(1)+2(1/2)+2(1/4)+2(1/8)+2(1/16)+..................
2+2(1+1/2+1/4+1/8+1/16+..............)
here (1+1/2+1/4+1/8+1/16+..............) is in GP
The value of (1+1/2+1/4+1/8+1/16+..............)=2
substitute in the above equation
=2+2(2)
=2+4
=6
Hope it helps you!!
Thank you!!!
best books for last minute revision { only problem solving needed} for advanced jee of maths and physics and chemistry
I think you're curious about exam.
Get complete grip on all the concepts And If you're from narayana then books provided by them and their all problems is far enough to crack either jee mains or advanced.
If not you can go through the previous years from cengage or ARIHANT.
Or very helpful if it is with the DISHA 42 YEARS OF PREVIOUS YEARS.
I HOPE it helps you.
If you know anything else better feel free to comment .
Is IE Irodov good for NEET problem solving ???
NCERT Physics Class XI & Class XII
Concepts of Physics by H. C. Verma
Objective Physics By DC Pandey
Fundamentals of Physics by Halliday, Resnick and Walker
Fundamental Physics by Pradeep
To help you with your NEET preparation, we have NEET Knockout packages that you can check at: https://learn.careers360.com/knockout-neet-may/.
which book in Chemistry is good for problem solving in organic ?
Hello Subhodeep
There are several books, you may consider any of the below mentioned:
Organic Chemistry by O P Tandon, NCERT, NOOTAN Chemistry, etc.
For more list of good and recommended books for JEE please refer the below mentioned link:
https://engineering.careers360.com/articles/best-books-for-jee-main
Best solved example + problem solving book for organic chemistry with concise relevant theory
Greetings!
You should go for Solomons for Organic Chemistry. It is based on the challenges faced by the students preparing for engineering entrance in terms of practice problems and clarity of theories. The relevance to exams is enhanced by elaborating concepts related to the syllabus, removing irrelevant topics and addition of specific problems at the end of each chapter. In each chapter there are plenty of practice and solved problems which come along with the theory part . In the end of the chapter there are review problems , additional objective questions which are mcq type and whose correct options are available at the end of the chapter. Complete solutions are displayed at the end of book. A concept map which is made at the end of the theory of every chapter is very helpful for revision. So , in short it's a great book for Organic Chemistry, you should go for it.
Thankyou
Make me understand that how I can increase my problem solving speed so that I can get optimum output in less time
Hello dear student,
I understand what you are trying to ask and that can only be achieved with consistent solving questions. Nothing can help you to improve your speed but your practice to solve mcqs now . Set a clock with timer of one hour or 30 mins . Take a topic and give one minute to one question. If you are setting your clock with one hour timer then take 60 questions and likewise if 30 mins take 30 questions of a topic or multiple topic. That will help you build the concept of a topic plus this will help you to improve your speed to solve questions. I hope this was helpful to you.
Best wishes
I am not able to solve physics problems for jee main what should I do to develop my problem solving skills
Hey there
Physics is tough do not think it's your fault. It will sound weird but if you want your physics strong then get a good teacher for you. Then after each topic he teaches you do not jump directly to JEE level try to first understand the theory and then practice HC Verma. HC Verma is the best book imfor physics. Try thinking about the problem and do not leave any doubts. Try to learn a concept and apply it to as much problem as you can it will increase your thinking.
Good luck