Discussion
The series below can be extended once the rule behind it is found. Work out the rule and supply the missing number.
2, 10, 50, 250, ?
Answer: A
Correct answer: 1250
The terms are multiplied rather than added to. Dividing each by its predecessor gives the same result throughout: 10 over 2 is 5, and 50 over 10 is 5, so the ratio is 5. Multiplying the last term, 250 times 5 is 1250. As a check, dividing the answer by 5 returns 250, which is the last term shown. Geometric series overtake arithmetic ones rapidly, which is often the visual clue that a ratio rather than a difference is at work.
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