Question

Question 20 Show that the products of the corresponding terms of the sequences a, ar, ar^2,...ar^(n-1) and A, AR, AR^2,...AR^(n-1) form a G.P, and find the common ratio.

Class X1 - Maths -Sequences and Series Page 193

Answer 1

Here, sequences are a, ar, ar², ar³........arⁿ⁻¹_____(1)

A ,AR, AR², AR³,......ARⁿ⁻¹______(2)
Now, multiply corresponding terms of eqns (1) and (2) .
$aA,ar.AR,ar^2.AR^2,ar^3.AR^3.....ar^{n-1}.AR^{n-1}$

Now,
$Common-ratio = \frac{arAR}{aA}=rR$

Answer 2

Answer:

Step-by-step explanation:

You will find in the attachment provide by me