Geometric sequences

(the database of solved problems)

All the problems and solutions shown below were generated using the Geometric sequences.

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ID	Problem	Count
11351	Find $a_{1} 0$ of a geometric progression if $a_{1} = \frac{1}{10} and r = \frac{1}{10}$ .	1
11352	Find $a_{3}$ of a geometric progression if $a_{1} = 3 and r = - 3$ .	1
11353	Find $a_{2}$ of a geometric progression if $a_{1} = 3 and r = - 3$ .	1
11354	$a_{1} = 3, r = - 3, a_{1} = ?, r = ?$	1
11355	Find the sum of the first $6$ terms of a geometric sequence if $a_{1} = - 4 and r = - 4$ .	1
11356	Find the sum of the first $3$ terms of a geometric sequence if $a_{1} = - 3 and r = - 2$ .	1
11357	Find the sum of the first $4$ terms of a geometric sequence if $a_{1} = - 3 and r = - 2$ .	1
11358	Find $a_{5}$ of a geometric progression if $a_{1} = \frac{1}{2} and r = 1$ .	1
11359	Find the sum of the first $2$ terms of a geometric sequence if $a_{1} = 1000 and r = \frac{3}{4}$ .	1
11360	Find $a_{2}$ of a geometric progression if $a_{1} = 98 and r = \frac{1}{7}$ .	1
11361	Find the sum of the first $8$ terms of a geometric sequence if $a_{1} = 8 and r = - \frac{3}{4}$ .	1
11362	Find the sum of the first $17$ terms of a geometric sequence if $a_{1} = 128 and r = \frac{1}{2}$ .	1
11363	Find the sum of the first $3$ terms of a geometric sequence if $a_{1} = 8 and r = - \frac{3}{4}$ .	1
11364	Find the sum of the first $7$ terms of a geometric sequence if $a_{1} = - 11 and r = - 4$ .	1
11365	Find the sum of the first $10$ terms of a geometric sequence if $a_{1} = 40 and r = \frac{1}{3}$ .	1
11366	Find $a_{1} 0$ of a geometric progression if $a_{1} = - 4 and r = - 3$ .	1
11367	Find $a_{3} 0$ of a geometric progression if $a_{1} = 1 and r = 1$ .	1
11368	Find the sum of the first $30$ terms of a geometric sequence if $a_{1} = 1 and r = 1$ .	1
11369	Find $a_{9}$ of a geometric progression if $a_{1} = 1 and r = \frac{9}{10}$ .	1
11370	Find the sum of the first $9223372036854775807$ terms of a geometric sequence if $a_{1} = \frac{1}{2} and r = \frac{1}{2}$ .	1
11371	Find the sum of the first $4$ terms of a geometric sequence if $a_{1} = 5 and r = 2$ .	1
11372	Find $a_{7}$ of a geometric progression if $a_{1} = 4 and r = \frac{7}{10}$ .	1
11373	Find $a_{6}$ of a geometric progression if $a_{1} = 15 and r = \frac{1}{5}$ .	1
11374	Find $a_{5}$ of a geometric progression if $a_{1} = 15 and r = \frac{1}{2}$ .	1
11375	Find first element ( $a_{1}$ ) of a geometic progression if $r = 6 and a_{4} = 24$ .	1
11376	Find $a_{2}$ of a geometric progression if $a_{1} = - 5 and r = 4$ .	1
11377	Find the sum of the first $3$ terms of a geometric sequence if $a_{1} = - 78125 and r = - \frac{1}{5}$ .	1
11378	Find $a_{5} 0$ of a geometric progression if $a_{1} = 2 and r = - 10$ .	1
11379	Find $a_{3} 6$ of a geometric progression if $a_{1} = 4 and r = 12$ .	1
11380	Find $a_{2} 94$ of a geometric progression if $a_{1} = - 6 and r = - 42$ .	1
11381	Find $a_{5}$ of a geometric progression if $a_{1} = \frac{3}{2} and r = \frac{3}{8}$ .	1
11382	Find $a_{1}$ of a geometric progression if $a_{1} = 3 and r = - 2$ .	1
11383	Find the sum of the first $7$ terms of a geometric sequence if $a_{1} = 6 and r = - 2$ .	1