Case 2: n is odd.
Let n = 2k+1 The number of terms is n+1 i.e., (2k + 1) + 1 = 2k + 2. In this case, there are two middle terms and are after k terms. Thus, in (a + b) n : ..
Let n = 2k+1 The number of terms is n+1 i.e., (2k + 1) + 1 = 2k + 2. In this case, there are two middle terms and are after k terms. Thus, in (a + b) n : ..Expansion of (a+b)^n
Method of writing expansion for (a+b) n - Method of writing expansion for (a+b) n The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one..
Total number of subsets in a set is 2n
The total number of all possible subsets of a given set containing n elements is 2 n..
To insert n Harmonic Means between two given quantities
To insert n Harmonic Means between two given quantities. Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. ..
To insert n Harmonic Means between two given quantities. Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. ..2nd Method:
from 1 s t method Let x = 24 k and y = 5k (i) (ii) Ans: (i) , (ii..
from 1 s t method Let x = 24 k and y = 5k (i) (ii) Ans: (i) , (ii..To find the nth term of an H.P
To find the n t h term of an H.P, find the n t h term of the corresponding A.P. obtained by the reciprocals of the terms of the given H.P. Now the reciprocal of the n t h term of an A.P. will be the n t h term of the H...
Step 2:
Assume the validity of the result for n equal to some arbitrary but fixed natural number, say, ..
Note 2:
n C 0 , n C 1 , ..... n C n are called binomial coefficients. n C 0 , n C 2 n C 4 , ..... are called even binomial coefficients. n C 1 , n C 3 , n C 5 .... are called odd binomial coeffic..
Step 2:
The first term in (1 + x) n is always ..
Step 2:
Find the general terms T r + 1 in the expansion of (1+x) n..
Result
Pages   :     1     2     3     4     5     6     7     8     9     10     11
See what our Users say :
Tutor helped me on every question and help me when i was confused. Thank you Tutor Vista
Very good, Tutor was clear and guided me through the whole algebra problems
This Tutor Vista is GREAT! loved this session, it helped me heaps.
Tutor Vista tutor helped me understand and gave me some practices and showed me how to do them.
Looking for More Help!
