Practice Summary (6) - Finite Series - IB 10 Mathematics – Group 5, Algebra
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Practice Questions

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Question 1 Easy

Find the sum of the first 15 terms of the series: 5 + 10 + 15 + ...

💡 Hint: Use the formula for the arithmetic series.

Question 2 Easy

Identify whether the sequence 3, 6, 12, 24 is arithmetic or geometric.

💡 Hint: Look at the pattern between the numbers.

4 more questions available

Interactive Quizzes

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Question 1

What is the formula for the sum of the first n terms of an arithmetic series?

S_n = a(n + 1)
S_n = n(a + l)/2
S_n = a(1 - r^n)/(1 - r)

💡 Hint: Think about how you can calculate totals of evenly spaced numbers.

Question 2

Is the common ratio in a geometric series allowed to be 1?

True
False

💡 Hint: Consider what happens if you keep multiplying by 1.

2 more questions available

Challenge Problems

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Challenge 1 Hard

A company is planning a loyalty program where customers earn bonuses. If a customer earns an initial bonus of $10 and this bonus doubles every month, what is the total bonus after 6 months?

💡 Hint: This is a geometric series.

Challenge 2 Hard

You have a starting salary of $3,000 that increases by $500 every year. What is your total salary over the next 5 years?

💡 Hint: This involves an arithmetic series.

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