Practice Geometric Progression (g.p.) (2.7) - Algebra

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6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the 4th term of a G.P. where a = 1 and r = 2.
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Use the formula for the nth term.
Question 2.
If a = 3 and r = 4, what is the 2nd term?
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The 2nd term is 3 multiplied by r once.
3Question 3.
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)
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Remember it starts with 'a' and involves 'r' in power.
4Question 4.
The sum of the first five terms in a G.P. with a = 2 and r = 3 is 242.
- True
- False
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Revisit the sum formula for clarity.
Question 5.
You have a G.P. where the first term is 12 and the common ratio is 0.5. Find the 6th term.
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Use the nth term formula and plug in the values.
Question 6.
In a G.P. where the first term is 5, if the sum of the first five terms is 155, find the common ratio.
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Set up the equation using the sum formula to solve for r.

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