Geometric sequences

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

Find $ a_4 $ of a geometric progression if $ a_1 = \dfrac{ 5 }{ 27 } ~~ \text{and} ~~ r = \dfrac{ 1 }{ 3 } $.

Find $ a_7 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = \dfrac{ 8 }{ 13 } $.

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

Find $ a_6 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = \dfrac{ 2 }{ 3 } $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = 6 ~~ \text{and} ~~ r = \frac{ 4 }{ 7 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = 27 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 3 } $.

Find $ a_7 $ of a geometric progression if $ a_1 = -\dfrac{ 1 }{ 5 } ~~ \text{and} ~~ r = 5 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 36 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 3 } $.

Find $ a_4 $ of a geometric progression if $ a_1 = \dfrac{ 1 }{ 2 } ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = -12 ~~ \text{and} ~~ r = 4 $.

Find the sum of the first $ 99999 $ terms of a geometric sequence if $ a_1 = \frac{ 1 }{ 3 } ~~ \text{and} ~~ r = \frac{ 1 }{ 9 } $.

Find the sum of the first $ 10 $ terms of a geometric sequence if $ a_1 = 7 ~~ \text{and} ~~ r = 3 $.

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

Find $ a_19 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = 3 $.

Find $ a_7 $ of a geometric progression if $ a_1 = 2400 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 4 } $.

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

Find the sum of the first $ 9 $ terms of a geometric sequence if $ a_1 = 1 ~~ \text{and} ~~ r = 3 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = 2 $.

Find $ a_11 $ of a geometric progression if $ a_1 = 4096 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_10 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = 3 $.

Find $ a_11 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = -3 $.

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = 1875 ~~ \text{and} ~~ a_{ 9 } = 2344 $.

Find $ a_9 $ of a geometric progression if $ a_1 = -65536 ~~ \text{and} ~~ r = -4 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 7 ~~ \text{and} ~~ r = -2 $.

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

Find $ a_2 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = \dfrac{ 61 }{ 50 } $.

Find $ a_12 $ of a geometric progression if $ a_1 = 9 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 6 $ terms of a geometric sequence if $ a_1 = 32 ~~ \text{and} ~~ r = -\frac{ 1 }{ 4 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = 3 $.

Find $ a_10 $ of a geometric progression if $ a_1 = 7 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_7 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_4 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 10 $.

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

Find $ a_9 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = -3 $.

Find $ a_3 $ of a geometric progression if $ a_1 = 3 ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 10 ~~ \text{and} ~~ r = 10 $.

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

Find $ a_7 $ of a geometric progression if $ a_1 = 3 ~~ \text{and} ~~ r = 5 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 8 $.

Find $ a_4 $ of a geometric progression if $ a_1 = 4 ~~ \text{and} ~~ r = 5 $.

Find $ a_11 $ of a geometric progression if $ a_1 = 3 ~~ \text{and} ~~ r = 4 $.

Find the sum of the first $ 16 $ terms of a geometric sequence if $ a_1 = 10 ~~ \text{and} ~~ r = 1.22 $.

Find $ a_8 $ of a geometric progression if $ a_1 = 5 ~~ \text{and} ~~ r = 2 $.

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

Find the sum of the first $ 10 $ terms of a geometric sequence if $ a_1 = 7 ~~ \text{and} ~~ r = 2 $.

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

Find $ a_6 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = \dfrac{ 5 }{ 2 } $.

Find $ a_18 $ 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 = 2 $.