The 4th term of a G.P. is square of its second term, and the first term is – 3. Determine its 7th term.

Question

TextGeneral Term of Geometric Progression

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If 1701 is the nth term of the Geometric Progression (G.P.) 7, 21, 63 ……., find:

Check whether the sequence 5, 15/4, 45/16, 135/64, … is a geometric progression and find its nth term.

General Term of Geometric Progression

Find the 12th term of a GP with common ratio 2, whose 8th term is 192.

Find the 10th and nth terms of the GP: 5, 25, 125, … .

Which term of the GP: 2, 6, 18, … is 4374? Write the explicit formula as well as the recursive formula for the nth term.

Which term of the sequence 2, 2√2, 4, … is 128?