Question

If 5,x,125 are in continued proportion, find valueee of xxxxx.....​

Answer 1

• a₂ = ±25

Explanation:

• 5, x, and 125 are part of a geometric progression

What we know :

• a (first term) = 5
• aₙ (final term) = 125
• n (number of terms) = 3

Finding the common ratio (r)

• aₙ = arⁿ⁻¹
• 125 = (5)(r)³⁻¹
• 25 = r²
• r = ± 5

Finding x

• x is the 2nd term of the progression
• a₂ = ar
• a₂ = 5(±5)
• a₂ = ±25

Answer 2

`\pmb{SOLUTION:-}`

• 5,x,125 are in continued proportion,

Then,

`\displaystyle{ (5)/(x) = (x)/(125) }`

`5 * 125 = {x}^(2)`

`{x}^(2) = 625`

`x = √(625)`

`x = 25`