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We guide our students through important career decisions and converting opportunities to results. We aim to be of help where their lecturers have abandoned them, when unforeseeable incidents delay their studying process, with providing quality classes tailored to the needs of the student. We also provide dedicated coaching classes for various competitive exams.We have an educational system where a multi-talented student is purely judged on the basis of what he writes on the exam day within the assigned time. A few subjects which require special attention are hurriedly finished just before the semester ends in many colleges leaving the students to study for themselves concepts which for many may prove to be quite complex. This may drain the morale out of any student and this is where we hope to be of help.

Sunday, 16 December 2018

Challenge Tips- Number System Maths Formulas

Number System  Maths Formulas

1. Sum of first n odd numbers = n2

 2. Sum of first n even numbers = n (n + 1)

 3. 1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2

 4. (12 + 22 + 32 + ..... + n2) = n ( n + 1 ) (2n + 1) / 6

 5 . (13 + 23 + 33 + ..... + n3) = (n(n + 1)/ 2)2

 6. (a + b)*(a - b) = (a2 - b2)

 7. (a + b)*2 = (a2 + b2 + 2ab)

 8. (a - b)*2 = (a2 + b2 - 2ab)

 9. (a + b + c)*2 = a2 + b2 + c2 + 2(ab + bc + ca)

 10. (a3 + b3) = (a + b)*(a2 - ab + b2)

 11. (a3 - b3) = (a - b)*(a2 + ab + b2)

 12. (a3 + b3 + c3 - 3abc) = (a + b + c)*(a2 + b2 + c2 - ab - bc - ac)

 13. When a + b + c = 0, then a3 + b3 + c3 = 3abc

 14. (a + b)*n = an + (nC1)*an-1b + (nC2)*an-2b2 + … + (nCn-1)*abn-1 + bn.
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