Geometric sequences

Find $ a_10 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = 5 $.

Find $ a_4 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = 6 $.

Find the sum of the first $ 6 $ terms of a geometric sequence if $ a_1 = 8 ~~ \text{and} ~~ r = \frac{ 3 }{ 2 } $.

Find $ a_9 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 4 $ terms of a geometric sequence if $ a_1 = 2 ~~ \text{and} ~~ r = 2 $.

Find $ a_18 $ of a geometric progression if $ a_1 = 10000 ~~ \text{and} ~~ r = 1.1 $.

Find $ a_18 $ of a geometric progression if $ a_1 = 20000 ~~ \text{and} ~~ r = 1.1 $.

Find $ a_20 $ of a geometric progression if $ a_1 = 20000 ~~ \text{and} ~~ r = 1.1 $.

Find $ a_7 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = -3 $.

Find $ a_12 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = 3 $.

Find $ a_9 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = 4 $.

Find the sum of the first $ 11 $ terms of a geometric sequence if $ a_1 = 1 ~~ \text{and} ~~ r = 3 $.

Find $ a_8 $ of a geometric progression if $ a_1 = -2 ~~ \text{and} ~~ r = -4 $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 36 ~~ \text{and} ~~ r = \frac{ 1 }{ 3 } $.

Find the sum of the first $ 9 $ terms of a geometric sequence if $ a_1 = 7 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 120 ~~ \text{and} ~~ r = -\frac{ 2 }{ 3 } $.

Find $ a_4 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 4 $.

Find $ a_5 $ of a geometric progression if $ a_1 = \dfrac{ 1 }{ 2 } ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find the sum of the first $ 6 $ terms of a geometric sequence if $ a_1 = 20 ~~ \text{and} ~~ r = \frac{ 1 }{ 2 } $.

Find $ a_11 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = -5 ~~ \text{and} ~~ r = -3 $.

Find the sum of the first $ 6 $ terms of a geometric sequence if $ a_1 = 256 ~~ \text{and} ~~ r = \frac{ 1 }{ 2 } $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ r = \frac{ 1 }{ 2 } $.

Find $ a_10 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = -3 $.

Find $ a_10 $ of a geometric progression if $ a_1 = 5 ~~ \text{and} ~~ r = 5 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_11 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = 2 $.

Find $ a_15 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = 2 $.

Find first element ( $ a_1 $ ) and a common ration ( $ r $ ) of a geometic progression if $ a_{ 4 } = 4000 ~~ \text{and} ~~ a_{ 8 } = 49000 $.

Find $ a_4 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 4 $ terms of a geometric sequence if $ a_1 = 2 ~~ \text{and} ~~ r = 3 $.

Find $ a_10 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = 3 $.

Find $ a_10 $ of a geometric progression if $ a_1 = 1000 ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 25 $ terms of a geometric sequence if $ a_1 = 1 ~~ \text{and} ~~ r = 2 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 4 $.

Find $ a_8 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = 5 $.

Find the sum of the first $ 9 $ terms of a geometric sequence if $ a_1 = 6 ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = 1 ~~ \text{and} ~~ r = 4 $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 1 ~~ \text{and} ~~ r = 6 $.

Find $ a_4 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 5 $.

Find the sum of the first $ 6 $ terms of a geometric sequence if $ a_1 = 2 ~~ \text{and} ~~ r = 5 $.

Find $ a_8 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = -5 ~~ \text{and} ~~ r = -3 $.

Find $ a_8 $ of a geometric progression if $ a_1 = \dfrac{ 3 }{ 10 } ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 10 $ terms of a geometric sequence if $ a_1 = 3 ~~ \text{and} ~~ r = 3 $.

Find $ a_11 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = -2 $.

Find $ a_9 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 3 $.

Find $ a_8 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = 5 $.

Find $ a_11 $ of a geometric progression if $ a_1 = -1 ~~ \text{and} ~~ r = -2 $.

Find $ a_4 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = 3 $.