Find the sum to infinity of a geometric series
12th grade (Year 13 in England) · 16 questions · Common Core: HSA.SSE.B.4 · England: A-level Pure Mathematics
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Date
Score/ 16
Question 1
A geometric series has sum to infinity 32 and common ratio 1/2. Find the first term.
Answer
Question 2
Find the sum to infinity of the geometric series with first term 2 and common ratio 1/2. Give a fraction if needed.
Answer(as a fraction)
Question 3
A ball is dropped from 6 m. Each bounce reaches 1/2 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 4
A geometric series has sum to infinity 9 and common ratio 2/3. Find the first term.
Answer
Question 5
Find the sum to infinity of the geometric series with first term 8 and common ratio 3/4. Give a fraction if needed.
Answer(as a fraction)
Question 6
A ball is dropped from 18 m. Each bounce reaches 1/4 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 7
A geometric series has sum to infinity 36 and common ratio 1/3. Find the first term.
Answer
Question 8
Find the sum to infinity of the geometric series with first term 20 and common ratio 1/4. Give a fraction if needed.
Answer(as a fraction)
Question 9
A ball is dropped from 14 m. Each bounce reaches 3/4 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 10
A geometric series has sum to infinity 32 and common ratio 3/4. Find the first term.
Answer
Question 11
Find the sum to infinity of the geometric series with first term 3 and common ratio −1/3. Give a fraction if needed.
Answer(as a fraction)
Question 12
A ball is dropped from 12 m. Each bounce reaches 3/4 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 13
A geometric series has sum to infinity 18 and common ratio 1/3. Find the first term.
Answer
Question 14
Find the sum to infinity of the geometric series with first term 15 and common ratio 2/3. Give a fraction if needed.
Answer(as a fraction)
Question 15
A ball is dropped from 16 m. Each bounce reaches 1/4 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 16
A geometric series has sum to infinity 54 and common ratio 2/3. Find the first term.
Answer
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