Home
Class 11
MATHS
In a GP, the sum of first two terms is -...

In a GP, the sum of first two terms is -4 and the 5th term is 4 times the 3rd term. Find the GP.

Text Solution

AI Generated Solution

To solve the problem, we need to find the geometric progression (GP) given the conditions about its terms. Let's break it down step by step. ### Step 1: Define the terms of the GP Let the first term of the GP be \( a \) and the common ratio be \( r \). The first two terms of the GP can be expressed as: - First term: \( a \) - Second term: \( ar \) ### Step 2: Set up the equation for the sum of the first two terms ...
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12A|18 Videos
  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12B|9 Videos
  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS|21 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 19|6 Videos

Similar Questions

Explore conceptually related problems

Find a G.P. for which sum of the first two terms is -4 and the fifth term is 4 times the third term.

Find the G.P. whose 2nd term is 12 and 6th term is 27 times the 3rd term.

Find the G.P. if the sum of its first two terms is 5 and each term is equal to 3 times the sum of its succeeding terms.

In a GP the 3 rd term is 24 and the 6 th term is 192. Find the 10 th term.

In a G.P.the 3rd term is 8 xx the 6th term and the 4th term is 4 xx the 6th term.Find the common ratio of the G.P.

The 4 th term of an A.P is equal to the 3 xx ofthe first term and 7 th term exceeds twice the 3 rd term by 1. Find first term and common difference

The sum of first two terms of a G.P. is 5/3 and the sum to infinity of the series is 3. Find the first term :

If the sum of the first n terms of an AP is 4n-n^(2) ,what is the first term (that is )? What is the sum of first two terms? What is the second term? Similarly,find the 3rd, the 10th and the nth terms.

In the expansion of (1+x)^(n) ,the 5^(th) term is 4 times the 4^(th) term and the 4^(th) term is 6 times the 3^(rd) term,then n=...