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
101	Find $a_{9}$ of a geometric progression if $a_{1} = 3 and r = 2$ .	18
102	Find $a_{1} 0$ of a geometric progression if $a_{1} = 5 and r = 2$ .	18
103	Find $a_{2} 0$ of a geometric progression if $a_{1} = 2 and r = 2$ .	17
104	Find $a_{7}$ of a geometric progression if $a_{1} = 2 and r = 3$ .	17
105	Find $a_{2} 0$ of a geometric progression if $a_{1} = 1 and r = - 1$ .	17
106	Find $a_{9}$ of a geometric progression if $a_{1} = 1 and r = 4$ .	17
107	Find $a_{5}$ of a geometric progression if $a_{1} = 1 and r = \frac{1}{2}$ .	17
108	Find the sum of the first $10$ terms of a geometric sequence if $a_{1} = 1 and r = 4$ .	17
109	Find $a_{5}$ of a geometric progression if $a_{1} = - 3 and r = - 2$ .	17
110	Find the sum of the first $20$ terms of a geometric sequence if $a_{1} = 1 and r = 2$ .	17
111	Find $a_{4}$ of a geometric progression if $a_{1} = 5 and r = 3$ .	17
112	Find $a_{4}$ of a geometric progression if $a_{1} = 1 and r = 2$ .	17
113	Find the sum of the first $8$ terms of a geometric sequence if $a_{1} = 3 and r = 2$ .	17
114	Find $a_{5}$ of a geometric progression if $a_{1} = 5 and r = 2$ .	17
115	Find the sum of the first $8$ terms of a geometric sequence if $a_{1} = 1 and r = 2$ .	17
116	Find $a_{1} 3$ of a geometric progression if $a_{1} = 7 and r = 3$ .	17
117	Find $a_{8}$ of a geometric progression if $a_{1} = 3 and r = 4$ .	16
118	Find the sum of the first $5$ terms of a geometric sequence if $a_{1} = 27 and r = \frac{2}{3}$ .	16
119	Find the sum of the first $4$ terms of a geometric sequence if $a_{1} = 64 and r = \frac{3}{4}$ .	16
120	Find $a_{4}$ of a geometric progression if $a_{1} = 3 and r = 5$ .	16
121	Find $a_{5}$ of a geometric progression if $a_{1} = 2 and r = \frac{1}{4}$ .	16
122	Find $a_{5}$ of a geometric progression if $a_{1} = 5 and r = 4$ .	16
123	Find the sum of the first $8$ terms of a geometric sequence if $a_{1} = 2 and r = 4$ .	16
124	Find the sum of the first $30$ terms of a geometric sequence if $a_{1} = 1 and r = \frac{1}{2}$ .	16
125	Find $a_{6}$ of a geometric progression if $a_{1} = 2 and r = 2$ .	16
126	Find the sum of the first $8$ terms of a geometric sequence if $a_{1} = 3 and r = 4$ .	16
127	Find the sum of the first $12$ terms of a geometric sequence if $a_{1} = 10 and r = 1.22$ .	16
128	Find $a_{1} 2$ of a geometric progression if $a_{1} = 5 and r = 3$ .	16
129	Find $a_{1} 5$ of a geometric progression if $a_{1} = 5 and r = 3$ .	16
130	Find $a_{1} 5$ of a geometric progression if $a_{1} = 2 and r = 3$ .	16
131	Find $a_{6}$ of a geometric progression if $a_{1} = 2 and r = 3$ .	16
132	Find the sum of the first $7$ terms of a geometric sequence if $a_{1} = 4 and r = 2$ .	15
133	Find the sum of the first $5$ terms of a geometric sequence if $a_{1} = 1 and r = \frac{1}{2}$ .	15
134	Find $a_{8}$ of a geometric progression if $a_{1} = - 10 and r = 2$ .	15
135	Find $a_{1} 0$ of a geometric progression if $a_{1} = 1 and r = 3$ .	15
136	Find $a_{4}$ of a geometric progression if $a_{1} = 2 and r = - 3$ .	15
137	Find the sum of the first $9$ terms of a geometric sequence if $a_{1} = 4 and r = 2$ .	15
138	Find $a_{5}$ of a geometric progression if $a_{1} = 5 and r = 5$ .	15
139	Find $a_{1} 2$ of a geometric progression if $a_{1} = 3 and r = 2$ .	15
140	Find $a_{1} 0$ of a geometric progression if $a_{1} = 1 and r = 5$ .	15
141	Find $a_{3} 0$ of a geometric progression if $a_{1} = 2 and r = 2$ .	15
142	Find the sum of the first $24$ terms of a geometric sequence if $a_{1} = 10 and r = 2$ .	15
143	Find the sum of the first $10$ terms of a geometric sequence if $a_{1} = 4 and r = \frac{1}{2}$ .	15
144	Find the sum of the first $10$ terms of a geometric sequence if $a_{1} = 3 and r = 4$ .	15
145	Find $a_{8}$ of a geometric progression if $a_{1} = 3 and r = - 4$ .	15
146	Find $a_{3}$ of a geometric progression if $a_{1} = 1 and r = 2$ .	15
147	Find $a_{1} 0$ of a geometric progression if $a_{1} = 3 and r = - 2$ .	15
148	Find $a_{5}$ of a geometric progression if $a_{1} = 7 and r = 2$ .	15
149	Find $a_{1} 4$ of a geometric progression if $a_{1} = 7 and r = 4$ .	15
150	Find $a_{9}$ of a geometric progression if $a_{1} = 7 and r = 2$ .	15