Geometric Sequences and Series Quiz

1. Find the common ratio of the geometric sequence if the first term is 6 and the fourth term is 48.












2. Find the fifth term of a geometric sequence if the first term is 7 and the common ratio is 0.5. Round to the nearest hundredth.












3.Determine the sum of the first 10 terms of a geometric series if the first term is 2 and the common ratio is 3.












4.If the sum of an infinite geometric series is 12 and the common ratio is 1/3, find the first term.












5.Find the sum of an infinite geometric series if the first term is 5 and the common ratio is 1/2.












6.Determine the value of 'n' if the sum of the first 'n' terms of a geometric series is 280, the first term is 20, and the common ratio is 2.












7.If the sum of the first 8 terms of a geometric series is 7 and the common ratio is 0.5, find the first term. Round to the nearest tenth.












8. Find the sum of the infinite geometric series with the first term 9 and the common ratio 1/3.












9. If the sum of an infinite geometric series is 16 and the common ratio is 2, find the first term.












10. If the sum of the first 5 terms of a geometric series is 248 and the common ratio is 0.5, find the first term. Round to the nearest tenth.














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