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
9301	Find $a_{8}$ of a geometric progression if $a_{1} = 9 and r = 6$ .	1
9302	Find the sum of the first $7$ terms of a geometric sequence if $a_{1} = \frac{1}{16} and r = - 2$ .	1
9303	Find $a_{4} 0$ of a geometric progression if $a_{1} = 2352 and r = 1.07$ .	1
9304	Find the sum of the first $4$ terms of a geometric sequence if $a_{1} = - \frac{2}{7} and r = - \frac{2}{7}$ .	1
9305	Find the sum of the first $18$ terms of a geometric sequence if $a_{1} = 16 and r = 2$ .	1
9306	Find the sum of the first $4$ terms of a geometric sequence if $a_{1} = 3 and r = 10$ .	1
9307	Find the sum of the first $4$ terms of a geometric sequence if $a_{1} = 40 and r = - 28$ .	1
9308	Find the sum of the first $7$ terms of a geometric sequence if $a_{1} = 5 and r = - \frac{2}{5}$ .	1
9309	Find $a_{1} 1$ of a geometric progression if $a_{1} = 1 and r = - 5$ .	1
9310	Find $a_{5}$ of a geometric progression if $a_{1} = 4 and r = - 2$ .	1
9311	Find $a_{9}$ of a geometric progression if $a_{1} = 3 and r = - \frac{1}{2}$ .	1
9312	Find $a_{8}$ of a geometric progression if $a_{1} = 5 and r = 4$ .	1
9313	Find $a_{1} 0$ of a geometric progression if $a_{1} = - 65536 and r = - \frac{1}{4}$ .	1
9314	Find $a_{1} 0$ of a geometric progression if $a_{1} = - 65536 and r = \frac{1}{4}$ .	1
9315	Find $a_{9}$ of a geometric progression if $a_{1} = 1536 and r = \frac{1}{2}$ .	1
9316	Find the sum of the first $7$ terms of a geometric sequence if $a_{1} = 96 and r = \frac{1}{2}$ .	1
9317	Find the sum of the first $6$ terms of a geometric sequence if $a_{1} = 0.125 and r = - 2$ .	1
9318	Find $a_{6}$ of a geometric progression if $a_{1} = 0.125 and r = - 2$ .	1
9319	Find the sum of the first $6$ terms of a geometric sequence if $a_{1} = 256 and r = \frac{1}{4}$ .	1
9320	Find the sum of the first $6$ terms of a geometric sequence if $a_{1} = 32 and r = \frac{5}{2}$ .	1
9321	Find the sum of the first $63$ terms of a geometric sequence if $a_{1} = 1.004 and r = 1$ .	1
9322	Find $a_{5}$ of a geometric progression if $a_{1} = 50 and r = \frac{4}{5}$ .	1
9323	Find $a_{3}$ of a geometric progression if $a_{1} = 1 and r = \frac{5}{11}$ .	1
9324	Find $a_{5}$ of a geometric progression if $a_{1} = - 9 and r = - \frac{2}{3}$ .	1
9325	Find $a_{5}$ of a geometric progression if $a_{1} = 6 and r = - 3$ .	1
9326	Find $a_{2}$ of a geometric progression if $a_{1} = 6 and r = - 3$ .	1
9327	Find $a_{3}$ of a geometric progression if $a_{1} = 6 and r = \frac{1}{2}$ .	1
9328	Find $a_{4}$ of a geometric progression if $a_{1} = 6 and r = \frac{1}{2}$ .	1
9329	Find $a_{5}$ of a geometric progression if $a_{1} = 347 and r = \frac{5}{4}$ .	1
9330	Find $a_{5}$ of a geometric progression if $a_{1} = 240 and r = - \frac{3}{4}$ .	1
9331	Find $a_{7}$ of a geometric progression if $a_{1} = 96 and r = 2$ .	1
9332	Find $a_{6}$ of a geometric progression if $a_{1} = - 54 and r = - 3$ .	1
9333	Find $a_{4}$ of a geometric progression if $a_{1} = 1055026 and r = 1.02$ .	1
9334	Find $a_{6}$ of a geometric progression if $a_{1} = 720 and r = \frac{1}{2}$ .	1
9335	Find $a_{1} 0$ of a geometric progression if $a_{1} = 12 and r = - 2$ .	1
9336	Find $a_{1} 0$ of a geometric progression if $a_{1} = 12 and r = \frac{1}{2}$ .	1
9337	Find $a_{4}$ of a geometric progression if $a_{1} = 3555 and r = \frac{26}{25}$ .	1
9338	Find the sum of the first $7$ terms of a geometric sequence if $a_{1} = - 2 and r = - 4$ .	1
9339	Find $a_{9}$ of a geometric progression if $a_{1} = - 125 and r = - \frac{1}{5}$ .	1
9340	Find $a_{9}$ of a geometric progression if $a_{1} = - 125 and r = - \frac{1}{5}$ .	1
9341	$a_{1} = 60, r = 0.9, S_{n} = 462.7, n = ?$	1
9342	Find the sum of the first $20$ terms of a geometric sequence if $a_{1} = 3000000 and r = \frac{2}{3}$ .	1
9343	Find the sum of the first $1$ terms of a geometric sequence if $a_{1} = 3000000 and r = \frac{2}{3}$ .	1
9344	Find the sum of the first $2$ terms of a geometric sequence if $a_{1} = 3000000 and r = \frac{2}{3}$ .	1
9345	Find $a_{2}$ of a geometric progression if $a_{1} = 3000000 and r = \frac{2}{3}$ .	1
9346	Find the sum of the first $4$ terms of a geometric sequence if $a_{1} = 2 and r = \frac{1}{2}$ .	1
9347	Find $a_{5}$ of a geometric progression if $a_{1} = 650000 and r = 0.035$ .	1
9348	Find the sum of the first $6$ terms of a geometric sequence if $a_{1} = 6 and r = \frac{1}{2}$ .	1
9349	Find $a_{5}$ of a geometric progression if $a_{1} = \frac{2}{5} and r = \frac{2}{5}$ .	1
9350	Find the sum of the first $5$ terms of a geometric sequence if $a_{1} = 0.00075 and r = \frac{13}{10}$ .	1