Question

what is the index of the power of x occurring in the 5th term of the expansion of (3x - 2/x^2)​

Answer 1

Step-by-step explanation:

• The total number of terms in the expansion of (x+y)n are (n+1)

• The total number of terms in the expansion of (x+y)n are (n+1)The sum of exponents of x and y is always n.

• The total number of terms in the expansion of (x+y)n are (n+1)The sum of exponents of x and y is always n.nC0, nC1, nC2, … .., ..

• The total number of terms in the expansion of (x+y)n are (n+1)The sum of exponents of x and y is always n.nC0, nC1, nC2, … .., ..The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. nC0 = nCn, nC1 = nCn-1 , nC2 = nCn-2 ,….. etc.

Answer 2

the index of the power of x is -3