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Geometric Progression - Mathematics Jamb Past Questions and Answers

Mathematics Questions And Answers On Geometric Progression
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Mathematics Jamb Past Questions


Questions and Answers on Geometric progression

Question 31 :



The sum to infinity of a geometric progression is \(-\frac{1}{10}\) and the first term is \(-\frac{1}{8}\). Find the common ratio of the progression.

A. \(-\frac{1}{5}\)
B. \(-\frac{1}{4}\)
C. \(-\frac{1}{3}\)
D. \(-\frac{1}{2}\)


Question 32 :



If the sum of the first two terms of a G.P. is 3, and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio

A. -2
B. -3
C. -5
D. 5


Question 33 :



The nth term of the progression \(\frac{4}{2}\), \(\frac{7}{3}\), \(\frac{10}{4}\), \(\frac{13}{5}\) is ...

A. \(\frac{1 - 3n}{n + 1}\)
B. \(\frac{3n + 1}{n + 1}\)
C. \(\frac{3n + 1}{n - 1}\)
D. \(\frac{3n - 1}{n + 1}\)


Question 34 :



What is the common ratio of the G.P. \((\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + ... \)?

A. \(\sqrt{2}\)
B. \(\sqrt{5}\)
C. 3
D. 5


Question 35 :



Determine the third term of a geometrical progression whose first and second term are 2 and 54 respectively

A. 1458
B. 1485
C. 1345
D. 1258






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