Let (1+x+x^2)^n = a_0+a_1x+a_2x^2 + ... + a_{2n} x^{2n}. Then match the items of List - I with those of List - II. List - I List - I A) a_0+a_2 + ... + a_{2n} I) n3^{n-1} B) a_1+a_3 + ... + a_{2n-1} II) n3^n C) a_1+2a_2+3a_3 + ... + 2na_{2n} III) 1/2 (3^n+1) IV) 1/2 (3^n-1) The correct match is

Correct Answer is : A - III , B - IV , C - II

TS EAMCET 04 May 2019 Shift 2 Solved Paper

Section: Mathematics

Question : 17 of 160

Marks: +1, -0

Let (1+x+x2)n = a0+a1x+a2x2 + ... + a2nx2n. Then match the items of List - I with those of List - II.

List - I

A) a0+a2 + ... + a2n

I) n3n−1

B) a1+a3 + ... + a2n−1

II) n3n

C) a1+2a2+3a3 + ... + 2na2n

III)

(3n+1)

IV)

(3n−1)

The correct match is

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