Arithmetic and Geometric Progressions

If the value of Fiat car depreciated by 25 per cent annually, what will be its estimated value at the end of 8 years if its present value is $2048?

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Find a G.P. whose 3rd and 6th terms are 1 and -1/8, respectively. Write down the 10th term also.

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The third term of a G.P. is 2/3 and the 6th term is 2/18, find this 8th term.

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The product of first and second terms of a G.P. is 256 and that of second and third terms is 16. find the 5th term.

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Which term of the series 1, 2, 4, 8, ... is 256?

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Is 1/3125 a term of the series 25, 5, 1,...?

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Find n if 1/2¹⁷ is the nth term of the series 16, 8, 4, ...?

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If the nth term of the series 1, 2, 4, 8, .... be the same as the nth term of the series 256, 128, 64, ... find out n.

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The 4th term of a G.P. is x, the 10th term is y and the 16th term is z. Show that xz=y²

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The nth term of a sequence is 2.3^n-1, show that it is in G.P. What is the first term and the common ratio?

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