Geometric sequences

Find $ a_10 $ of a geometric progression if $ a_1 = 60 ~~ \text{and} ~~ r = 0.6 $.

Find the sum of the first $ 9 $ terms of a geometric sequence if $ a_1 = 16 ~~ \text{and} ~~ r = \frac{ 7 }{ 2 } $.

Find the sum of the first $ 123 $ terms of a geometric sequence if $ a_1 = 1000 ~~ \text{and} ~~ r = 0.998 $.

Find $ a_14 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 2 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 15 ~~ \text{and} ~~ r = 1 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 24 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_10 $ of a geometric progression if $ a_1 = \dfrac{ 1 }{ 2 } ~~ \text{and} ~~ r = \dfrac{ 3 }{ 4 } $.

Find $ a_10 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = \dfrac{ 3 }{ 10 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = 9 ~~ \text{and} ~~ r = 4 $.

Find the sum of the first $ 6 $ terms of a geometric sequence if $ a_1 = -1 ~~ \text{and} ~~ r = -11 $.

Find $ a_50 $ of a geometric progression if $ a_1 = 20 ~~ \text{and} ~~ r = 0.95 $.

Find $ a_15 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = 3 $.

Find $ a_6 $ of a geometric progression if $ a_1 = \dfrac{ 3 }{ 5 } ~~ \text{and} ~~ r = 5 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 3 ~~ \text{and} ~~ r = 5 $.

Find $ a_7 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = \dfrac{ 2 }{ 5 } $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 9 ~~ \text{and} ~~ r = -2 $.

Find the sum of the first $ 12 $ terms of a geometric sequence if $ a_1 = 9 ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 9 $ terms of a geometric sequence if $ a_1 = 16 ~~ \text{and} ~~ r = \frac{ 7 }{ 4 } $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 64 ~~ \text{and} ~~ r = \frac{ 1 }{ 2 } $.

Find $ a_10 $ of a geometric progression if $ a_1 = 20 ~~ \text{and} ~~ r = 2 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 1.688 ~~ \text{and} ~~ r = \dfrac{ 4 }{ 3 } $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 8 ~~ \text{and} ~~ r = \frac{ 1 }{ 2 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = 3 ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 60 $ terms of a geometric sequence if $ a_1 = 200 ~~ \text{and} ~~ r = 1.005 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 13000 ~~ \text{and} ~~ r = \dfrac{ 107 }{ 100 } $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 1000 ~~ \text{and} ~~ r = \frac{ 107 }{ 100 } $.

Find $ a_6 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_8 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 3 } $.

Find $ a_6 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = \dfrac{ 3 }{ 2 } $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ r = 5 $.

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

Find $ a_10 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = \dfrac{ 4 }{ 5 } $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 5 ~~ \text{and} ~~ r = -2 $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 1 ~~ \text{and} ~~ r = -3 $.

Find $ a_11 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = 2 $.

Find first element ( $ a_1 $ ) of a geometic progression if $ r = 3 ~~ \text{and} ~~ a_{ 6 } = -2912 $.

Find $ a_9 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find the sum of the first $ 64 $ terms of a geometric sequence if $ a_1 = 2 ~~ \text{and} ~~ r = 2 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = 5 $.

Find $ a_3 $ of a geometric progression if $ a_1 = \dfrac{ 27 }{ 16 } ~~ \text{and} ~~ r = -\dfrac{ 9 }{ 4 } $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = -8 ~~ \text{and} ~~ r = -2 $.

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

Find $ a_14 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 4 $.

Find the sum of the first $ 18 $ terms of a geometric sequence if $ a_1 = \frac{ 1 }{ 100 } ~~ \text{and} ~~ r = 2 $.

Find $ a_12 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = 6 ~~ \text{and} ~~ r = 3 $.

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

Find $ a_8 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 3 } $.

Find $ a_4 $ of a geometric progression if $ a_1 = 12 ~~ \text{and} ~~ r = 2 $.