Home
Class 12
MATHS
Find the degree of the expression (1+x)(...

Find the degree of the expression `(1+x)(1+x^6)(1+x^(11))............(1+x^(101))dot`

Text Solution

Verified by Experts

The degree of the expression is 1+6+11+….+101 which is an A.P.
Now 101=1+5(n-1)
`rArrn=21`
`rArr1+6+11+…+101=21/2[1+101]=21xx51=1071`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 5.26|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 5.27|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 5.24|1 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

Similar Questions

Explore conceptually related problems

Expand the expression (x+1/x)^6

Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4 .

Find the degree of theexpansion, {x+(x^(3)-1)^(1//2)}^(5)+{x-(x^(3)-1)^(1//2)}^(5)

Find the coefficient of x in the expansion (1-x^2+2x^4)(1-1/x)^6.

Find the term inedpendent of X in the expansion of (1+x)^3(1-1/x)^6

Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x^2)^(100)dot

Find the coefficients of x^(50) in the expression (1+x)^(1000)+x(1+x)^(999)+x^2(1+x)^(998)+...+1001 x^(1000) .

If x=5 find the value of the algebraic expressions: 6x+11.

Find the constant term in the expansion of (x-1/x)^6dot

Find the coefficient of x^7 in (x^2+(1/x))^11