Question

if the numbers 1 4 x 4 are three consecutive terms of a GP. find value of x

Answer 1

Answer:

x/14 = 4/x

=> x^2 = 56

=>x = sqrt (56)

Answer 2

Step-by-step explanation:

Given: If the numbers 1/4, x, 4 are three consecutive terms of a G.P.

To find: Find the value of x.

Solution:

We know that common ratio is same.

Step 1: Find common ratio of first two numbers

$r = \frac{x}{ \frac{1}{4} } \\ \\ \bold{\red{r = 4x}} ...eq1$

Step 2: Find common ratio of last two numbers

$\bold{\red{r = \frac{4}{x}}} ...eq2$

Step 3: Equate both

$4x = \frac{4}{x}$

${x}^{2} = 1 \\ \\\bold{\red{ x = ±1 }}$

Final answer:

x=±1

Hope it helps you.

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