Imagine an ascending stack of vibrant geometric shapes, representing a tower reaching towards the vast sky. Each layer of the stack highlights a different pattern, intermingling circles, squares, triangles, and spirals in an array of hues – red, blue, green, yellow and more. Enigmatically woven throughout this kaleidoscopic tower are mathematical elements, gracefully integrated amidst the shapes, like they're secret codes of the universe. Intricate arithmetic computations, algebraic formulas, geometric equations, and even elusive patterns from number theory, all dancing amidst the colors, adding a fascinating intellectual aura to the whimsical structure.

a GP has a first term of A,a common ratio of r and its 6th term is 768. another GP has a first term of a,a common ratio of 6r and its 3rd term is 3456. evaluate a and r

term(6) = 768

ar^5 = 768

term(3) = 3456
a(6r)^2 = 3456

36ar^2 / ar^5 = 3456/768
36/r^3 = 9/2
9r^3 = 72
r^3 = 8
r = 2

go back to the first of my equations and find a

correct

A GO has a common ratio of a a common ratio of r and its 6th term is 768 Another GP has a first term of a a common ratio of 6r and its 3rd term is 3456 evaluate a and r

Take heart.

Mathematics sweet😂

Interesting

This math is a little bit confused

The math is a little bit confused

It a little bit tough question

Correct