Question

Question 23 If the first and the nth term of a G.P. are a ad b, respectively, and if P is the product of n terms, prove that P2 = (ab)n.

Class X1 - Maths -Sequences and Series Page 193

Answer 1

see attachment,
here,
first term A = a
nth term ARⁿ⁻¹ = b

And P = A × AR × AR² × AR³ × AR⁴ × ....× ARⁿ⁻¹
= {A¹⁺¹⁺¹⁺¹⁻⁻⁻⁻ⁿ} {R¹⁺²⁺³⁺⁴⁺⁻⁻⁻⁻⁻⁽ⁿ⁻¹⁾}
= AⁿRⁿ⁽ⁿ⁻¹⁾÷²
P = A^n R^{n(n-1)/2}
now, proceed according to attachment

Answer 2

Answer:

Answr is giving in the attachment.... in easy Language

Step-by-step explanation:

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