Geometric sequences

Find $ a_11 $ of a geometric progression if $ a_1 = -17 ~~ \text{and} ~~ r = -3 $.

Find $ a_12 $ of a geometric progression if $ a_1 = -14 ~~ \text{and} ~~ r = -2 $.

Find $ a_10 $ of a geometric progression if $ a_1 = 11 ~~ \text{and} ~~ r = -2 $.

Find $ a_8 $ of a geometric progression if $ a_1 = -20 ~~ \text{and} ~~ r = 3 $.

Find $ a_2 $ of a geometric progression if $ a_1 = \dfrac{ 1 }{ 6 } ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = \frac{ 7 }{ 2 } ~~ \text{and} ~~ a_{ 6 } = \frac{ 56 }{ 81 } $.

Find $ a_24 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 2 $.

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = 50 ~~ \text{and} ~~ a_{ 3 } = 18 $.

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = 100 ~~ \text{and} ~~ a_{ 2 } = 30 $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 3 ~~ \text{and} ~~ r = \frac{ 1 }{ 9 } $.

Find $ a_7 $ of a geometric progression if $ a_1 = \dfrac{ 1 }{ 2 } ~~ \text{and} ~~ r = -6 $.

Find $ a_9 $ of a geometric progression if $ a_1 = 1536 ~~ \text{and} ~~ r = 2 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 400 ~~ \text{and} ~~ r = 1.25 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 400 ~~ \text{and} ~~ r = 0.25 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 400 ~~ \text{and} ~~ r = -1.25 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 400 ~~ \text{and} ~~ r = 4.5 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 400 ~~ \text{and} ~~ r = \dfrac{ 4 }{ 5 } $.

Find $ a_3 $ of a geometric progression if $ a_1 = 18 ~~ \text{and} ~~ r = \dfrac{ 3 }{ 5 } $.

Find $ a_8 $ of a geometric progression if $ a_1 = 18 ~~ \text{and} ~~ r = \dfrac{ 3 }{ 5 } $.

Find $ a_7 $ of a geometric progression if $ a_1 = -375 ~~ \text{and} ~~ r = 5 $.

Find $ a_5 $ of a geometric progression if $ a_1 = \dfrac{ 7 }{ 4 } ~~ \text{and} ~~ r = \dfrac{ 3 }{ 2 } $.

Find $ a_6 $ of a geometric progression if $ a_1 = 23 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 4 } $.

Find $ a_42 $ of a geometric progression if $ a_1 = 313 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 6 } $.

Find $ a_21 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 21 $ terms of a geometric sequence if $ a_1 = 6 ~~ \text{and} ~~ r = 3 $.

Find $ a_3 $ of a geometric progression if $ a_1 = \dfrac{ 2 }{ 9 } ~~ \text{and} ~~ r = \dfrac{ 2 }{ 3 } $.

Find the sum of the first $ 100 $ terms of a geometric sequence if $ a_1 = \frac{ 1 }{ 2 } ~~ \text{and} ~~ r = \frac{ 1 }{ 8 } $.

Find $ a_9 $ of a geometric progression if $ a_1 = 1500 ~~ \text{and} ~~ r = 1.02 $.

Find $ a_8 $ of a geometric progression if $ a_1 = 500 ~~ \text{and} ~~ r = 0.8 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 1700 ~~ \text{and} ~~ r = 1.2 $.

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

Find $ a_7 $ of a geometric progression if $ a_1 = 64 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

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

Find the sum of the first $ 10 $ terms of a geometric sequence if $ a_1 = 100 ~~ \text{and} ~~ r = 1.05 $.

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = 1 ~~ \text{and} ~~ a_{ 20 } = 10 $.

Find $ a_50 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 1.129 $.

Find $ a_45 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 1.129 $.

Find the sum of the first $ 15 $ terms of a geometric sequence if $ a_1 = -7 ~~ \text{and} ~~ r = -2 $.

Find $ a_3 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 5 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = 0 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 6 } $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = -2 ~~ \text{and} ~~ r = -5 $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = -1 ~~ \text{and} ~~ r = -3 $.

Find the sum of the first $ 4 $ terms of a geometric sequence if $ a_1 = 0 ~~ \text{and} ~~ r = \frac{ 1 }{ 4 } $.

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

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

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = 8 ~~ \text{and} ~~ a_{ 24 } = 1000 $.

Find $ a_31 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = 1.234 $.

Find $ a_24 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = 1.234 $.

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = 8 ~~ \text{and} ~~ a_{ 27 } = 10000 $.

Find $ a_2 $ of a geometric progression if $ a_1 = 2 ~~ \text{and} ~~ r = 4 $.