The terms of a G.P. with first term a and common ratio r are squared.

The terms of a G.P. with first term a and common ratio r are squared. Prove that resulting numbers form a G.P. Find its first term, common ratio, and the nth term.

Solution:

Show that the products of the corresponding terms of two G.P.’s a, ar, ar², …, ar^n-1 and A, AR, AR², …, AR^n-1 form a G.P. and find the common ratio.

Solution:

More Solutions:

• Evaluate the geometric Progression.
• Find the sum of the series.
• Find the sum of the following series to n terms:
• The list of numbers – 10, – 6, – 2, 2, … is
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• The 4th term from the end of the A.P. -11, -8, -5, …, 49 is