Home
Class 12
MATHS
If the first three terms of an A.P. are ...

If the first three terms of an A.P. are the roots of the equation ` 4x^(3) - 24x^(2) + 23 + 18 = 0` them
compute the sum of the first n terms .

Text Solution

AI Generated Solution

To solve the problem, we need to find the sum of the first n terms of an arithmetic progression (A.P.) whose first three terms are the roots of the polynomial equation \(4x^3 - 24x^2 + 23x + 18 = 0\). ### Step-by-Step Solution: 1. **Identify the Roots of the Polynomial:** Given the polynomial equation: \[ 4x^3 - 24x^2 + 23x + 18 = 0 ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|87 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

If x,|x+1|,|x-1| are first three terms of an A.P., then the sum of its first 20 terms is

Find the rth term of an A.P., the sum of whose first n terms is 3n^2+4n

Find the rth term of an A.P., sum of whose first n terms is 2n + 3n^(2) .

If the sum of first n terms of an A.P. is 3n^2 + 2n , find its r^(th) term.

The sum of the first three terms of an Arithmeic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.

The sum of the first three terms of an increasing G.P. is 21 and the sum of their squares is 189. Then the sum of its first n terms is

The sum of the 4th and the 8th terms of an A.P. is 24 and the sum of the 6th and the 10th terms of the same A.P. is 44. Find the first three terms of the A.P.

The sum of the first three consecutive terms of an A.P. is 9 and the sum of their squares is 35. Find S_(n)