Geometric sequences

Find $ a_17 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = 9 $.

Find $ a_17 $ of a geometric progression if $ a_1 = 6 ~~ \text{and} ~~ r = -3 $.

Find $ a_6 $ of a geometric progression if $ a_1 = 15 ~~ \text{and} ~~ r = \dfrac{ 2 }{ 3 } $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = \frac{ 49 }{ 8 } ~~ \text{and} ~~ r = \frac{ 7 }{ 8 } $.

Find $ a_19 $ of a geometric progression if $ a_1 = -3 ~~ \text{and} ~~ r = -2 $.

Find $ a_13 $ of a geometric progression if $ a_1 = -3 ~~ \text{and} ~~ r = -2 $.

Find $ a_5 $ of a geometric progression if $ a_1 = 48 ~~ \text{and} ~~ r = -\dfrac{ 1 }{ 2 } $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = -2 ~~ \text{and} ~~ r = 3 $.

Find $ a_7 $ of a geometric progression if $ a_1 = 250 ~~ \text{and} ~~ r = \dfrac{ 4 }{ 5 } $.

Find the sum of the first $ 4 $ terms of a geometric sequence if $ a_1 = 3 ~~ \text{and} ~~ r = 7 $.

Find $ a_12 $ of a geometric progression if $ a_1 = 11 ~~ \text{and} ~~ r = 4 $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 1850 ~~ \text{and} ~~ r = \frac{ 6 }{ 5 } $.

Find $ a_8 $ of a geometric progression if $ a_1 = 12 ~~ \text{and} ~~ r = -\dfrac{ 1 }{ 3 } $.

Find the sum of the first $ 11 $ terms of a geometric sequence if $ a_1 = 7 ~~ \text{and} ~~ r = 5 $.

Find $ a_10 $ of a geometric progression if $ a_1 = 36 ~~ \text{and} ~~ r = \dfrac{ 3 }{ 4 } $.

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

Find $ a_12 $ of a geometric progression if $ a_1 = 450 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = -17 ~~ \text{and} ~~ r = 5 $.

Find first element ( $ a_1 $ ) and a common ration ( $ r $ ) of a geometic progression if $ a_{ 1 } = 640 ~~ \text{and} ~~ a_{ 4 } = 1080 $.

Find $ a_20 $ of a geometric progression if $ a_1 = 640 ~~ \text{and} ~~ r = 1.191 $.

Find $ a_10 $ of a geometric progression if $ a_1 = 5 ~~ \text{and} ~~ r = \dfrac{ 5 }{ 2 } $.

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

Find the sum of the first $ 15 $ terms of a geometric sequence if $ a_1 = 3 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 13 $ terms of a geometric sequence if $ a_1 = 3 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 13 $ terms of a geometric sequence if $ a_1 = 5 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 1 $ terms of a geometric sequence if $ a_1 = 6 ~~ \text{and} ~~ r = 3 $.

Find the sum of the first $ 9 $ terms of a geometric sequence if $ a_1 = 0 ~~ \text{and} ~~ r = 2 $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 4 ~~ \text{and} ~~ r = -5 $.

Find common ratio ( $ r $ ) in geometic progression if $ a_1 = 300 ~~ \text{and} ~~ a_{ 4 } = \frac{ 3 }{ 10 } $.

Find $ a_12 $ of a geometric progression if $ a_1 = -9 ~~ \text{and} ~~ r = -5 $.

Find $ a_3 $ of a geometric progression if $ a_1 = 729 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 3 } $.

Find $ a_5 $ of a geometric progression if $ a_1 = 729 ~~ \text{and} ~~ r = \dfrac{ 2 }{ 3 } $.

Find $ a_6 $ of a geometric progression if $ a_1 = 729 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 4 } $.

Find $ a_6 $ of a geometric progression if $ a_1 = 729 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 5 } $.

Find the sum of the first $ 7 $ terms of a geometric sequence if $ a_1 = -405 ~~ \text{and} ~~ r = \frac{ 1 }{ 3 } $.

Find $ a_7 $ of a geometric progression if $ a_1 = 7 ~~ \text{and} ~~ r = \dfrac{ 3 }{ 2 } $.

Find $ a_50 $ of a geometric progression if $ a_1 = 200 ~~ \text{and} ~~ r = 1.06 $.

Find $ a_69 $ of a geometric progression if $ a_1 = 200 ~~ \text{and} ~~ r = 1.06 $.

Find $ a_20 $ of a geometric progression if $ a_1 = 1 ~~ \text{and} ~~ r = \dfrac{ 2 }{ 3 } $.

Find the sum of the first $ 20 $ terms of a geometric sequence if $ a_1 = 4 ~~ \text{and} ~~ r = 0.5 $.

Find the sum of the first $ 8 $ terms of a geometric sequence if $ a_1 = 5 ~~ \text{and} ~~ r = -4 $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 700 ~~ \text{and} ~~ r = 0.04 $.

Find the sum of the first $ 5 $ terms of a geometric sequence if $ a_1 = 700 ~~ \text{and} ~~ r = \frac{ 1 }{ 25 } $.

Find $ a_7 $ of a geometric progression if $ a_1 = 8 ~~ \text{and} ~~ r = \dfrac{ 2 }{ 3 } $.

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

Find $ a_13 $ of a geometric progression if $ a_1 = 10000 ~~ \text{and} ~~ r = 2 $.

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

Find $ a_3 $ of a geometric progression if $ a_1 = 10 ~~ \text{and} ~~ r = \dfrac{ 1 }{ 2 } $.