If 8th, 15th and 22nd terms of a G.P. are x, y and z respectively then y is equal to-⁸
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Given : 8th, 15th and 22nd terms of a G.P. are x, y and z respectively
To Find : show that y = √xz
Solution:
Let say GP
first term = a
common ratio = r
nth term = arⁿ⁻¹
8th term = ar⁷ = x
15th term = ar¹⁴ = y
22nd term = ar²¹ = z
y = ar¹⁴
=> y² = ar¹⁴.ar¹⁴
=> y² = ar⁷.ar²¹
=> y² = xz
=> y = √xz
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