Question

In a finite GP, prove that the product of the terms equidistant from the
beginning and end is the product of first and last terms.

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Answer 1

Answer:

sorry

Step-by-step explanation:

I don't understand your question

Answer 2

Answer:

Answer:

Product of rth term from beginning and rth term from the end = product of first term and last term

Step-by-step explanation:

Let say there are n terms in GP

first term = a

Common Ratio = x

nth Term = a * xⁿ⁻¹

product of first term and last term = a * a * xⁿ⁻¹ = a²xⁿ⁻¹

Term rth = a * x^{(r-1)}rth=a∗x

(r−1)

rth term from the end = n - r + 1 th term

rth term from the end = ax^{(n-r+1-1)} = ax^{(n-r)}=ax

(n−r+1−1)

=ax

(n−r)

Product of rth term from beginning and rth term from the end

= a * x^{(r-1)} * a * x^{(n-r)} = a^2 * x^{(r-1 + n-r)} = a^2 * x^{(n-1)}a∗x

(r−1)

∗a∗x

(n−r)

=a

2

∗x

(r−1+n−r)

=a

2

∗x

(n−1)

= a²xⁿ⁻¹

= product of first term and last term

Product of rth term from beginning and rth term from the end = product of first term and last term