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Algebra of Sequences

find the geom...

Question

find the geometric mean of first five terms of a geometric progression whose nth term is 2.3^n/5

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Q. Prove that the sequence, whose general term is

a_{n} = {2.3}^{n}

, is a geometric progression and find the stint of the first eight terms.

Q. The third term of a geometric progression is

4

. The product of the first five terms is

2 n

terms of a geometric progression whose first term is

^{'} a^{'}

and common ratio

^{'} r^{'}

is equal to the sum of

n

terms of a geometric progression whose first term is

^{'} b^{'}

r^{2}

b

n^{t h}

term of the Geometric Progression.

100, - 110, 121, . . .

Q. The third term of a geometric progression is square of its first term and the fifth term of it is 64. Find the sum of the first six terms of the Geometric Progression.

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