Question

t4 of a G.P. in x, t10 = y and t16= z. Then​

Answer 1

Step-by-step explanation:

we know that

T(nth) = a(r^(n-1))

t4 = x

x = ar³

t10 = y

y = ar⁹

t16 = z

z = ar¹⁵

So,

x = ar³

y = ar⁹

z = ar¹⁵

Now,

y² = (ar⁹)² = a²r¹⁸

also xz = ar³ × ar¹⁵ = a²r¹⁸

so, y² = xz

Hope you understood it........All the best