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
Name
Date
Score/ 16
Question 1
Find the sum to infinity of the geometric series with first term 8 and common ratio 1/4. Give a fraction if needed.
Answer(as a fraction)
Question 2
A geometric series has sum to infinity 12 and common ratio 1/2. Find the first term.
Answer
Question 3
A ball is dropped from 14 m. Each bounce reaches 1/4 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 4
Find the sum to infinity of the geometric series with first term 28 and common ratio 3/4. Give a fraction if needed.
Answer(as a fraction)
Question 5
A geometric series has sum to infinity 81 and common ratio 2/3. Find the first term.
Answer
Question 6
A ball is dropped from 8 m. Each bounce reaches 1/2 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 7
Find the sum to infinity of the geometric series with first term 8 and common ratio 1/4. Give a fraction if needed.
Answer(as a fraction)
Question 8
A geometric series has sum to infinity 32 and common ratio 1/2. Find the first term.
Answer
Question 9
A ball is dropped from 20 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
Find the sum to infinity of the geometric series with first term 28 and common ratio 3/4. Give a fraction if needed.
Answer(as a fraction)
Question 11
A geometric series has sum to infinity 12 and common ratio 1/2. Find the first term.
Answer
Question 12
A ball is dropped from 12 m. Each bounce reaches 2/3 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 13
Find the sum to infinity of the geometric series with first term 24 and common ratio 1/4. Give a fraction if needed.
Answer(as a fraction)
Question 14
A geometric series has sum to infinity 18 and common ratio 2/3. Find the first term.
Answer
Question 15
A ball is dropped from 20 m. Each bounce reaches 1/2 of the previous height. In theory it bounces for ever. What total distance does it travel?
Answer
Question 16
Find the sum to infinity of the geometric series with first term 6 and common ratio 1/2. Give a fraction if needed.
Answer(as a fraction)
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