Question

The number of terms in the expression of (a + b + c)n, where n Ïµ N, is

Solution

Correct option is

n + 1

                                                     

Further expanding each term of R.H.S.

First term on expansion gives one term

Second term on expansion gives two terms and so on.

SIMILAR QUESTIONS

Q1

Find the 11th in the expression of 

Q2

Find the term independent of x in 

Q3

Show that 11n+2 + 122n+1 is divisible by 133.

Q4

Evaluate C1 – 2. C2 + 3. C3 – 4. C4 +….+ (– 1)n+1n. Cn 

Q5

The digit at unit place in the number 171995 + 111995 – 71995 is

Q6

If the sum of the coefficients in the expression of (1 + 2x)n is 6561. The greatest term in the expression at x = 1/2 is

Q7

The number of terms which are free from fractional powers in the expansion of (a1/5 + b2/3)45a ≠ b is

Q8

If n is an odd natural, then  equals

Q9
Q10

The coefficient of xm in (1 + x)r + (1 + x)r+1 + (1 + x)r+2 +….+ (1 + x)nr≤ m ≤ n is