ekepatricia6 ekepatricia6

31-05-2024
Mathematics

Answered

given that (x+2),(4x+3) and 7x+24 are consecutive terms of a geometric progression

find the value of x

Verified Answer :

shriparnabera shriparnabera

31-05-2024

Answer:

we can arrive at the value of x:

Solve for r:

From the second term, r = (4x + 3) / (x + 2).

Substitute r in the third term:

(7x + 24) = (4x + 3) [(4x + 3) / (x + 2)]

Solve for x:

This simplifies to a quadratic equation. Solving for x yields x ≈ -2.94.

However, a geometric progression cannot have a negative term. Therefore, there is no valid solution for x in this scenario

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