Terms of a G.P.

Calculus Level 3

The first term of geometric progression b1,b2,b3,.....b_1,b_2,b_3,..... is 1.
Find the minimum value of (4×b2+5×b3)\left( 4 \times b_2+5 \times b_3 \right).


You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
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