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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the 4th term of a G.P. where a = 1 and r = 2.
💡 Hint: Use the formula for the nth term.
Question 2
Easy
If a = 3 and r = 4, what is the 2nd term?
💡 Hint: The 2nd term is 3 multiplied by r once.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for finding the nth term of a G.P.?
- a_n = a + (n-1)d
- a_n = a * r^(n-1)
- S_n = a + d(n-1)
💡 Hint: Remember it starts with 'a' and involves 'r' in power.
Question 2
The sum of the first five terms in a G.P. with a = 2 and r = 3 is 242.
- True
- False
💡 Hint: Revisit the sum formula for clarity.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have a G.P. where the first term is 12 and the common ratio is 0.5. Find the 6th term.
💡 Hint: Use the nth term formula and plug in the values.
Question 2
In a G.P. where the first term is 5, if the sum of the first five terms is 155, find the common ratio.
💡 Hint: Set up the equation using the sum formula to solve for r.
Challenge and get performance evaluation