Question

If (a-2), 8,16, are in Gp then a =

Answer 1

Step-by-step explanation:

Given: If the numbers (a-2),8,16 are three consecutive terms of a G.P.

To find: Find the value of a.

Solution:

We know that common ratio is same.

Step 1: Find common ratio of first two numbers

$r = \frac{8}{ a-2 } ...eq1$

Step 2: Find common ratio of last two numbers

$r = \frac{16}{8} \\\\r=2...eq2$

Step 3: Equate both

$2= \frac{8}{a-2}$

$a-2=4 \\ \\ a=6$

Final answer:

a=6

Hope it helps you.

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