Sequences from Shapes (Leaving Cert Mathematics): Quizzes

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Sequences from Shapes
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12 questions from this quiz

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What is each number in a sequence called?

A term

What is the formula for the nnth term in square number patterns?

Tn=n2T_n = n^2

How many counters are needed for design 8 in a square pattern?

64

What sequence do L-shaped patterns create?

Consecutive odd numbers

What is the formula for L-shaped patterns?

Tn=2n−1T_n = 2n - 1

How many counters are needed for the 15th design in an L-shaped pattern?

29

Which L-shaped design uses exactly 99 counters?

Design 50

In connected square matchstick patterns, how many matchsticks does each additional square add?

3 matchsticks

What is the formula for connected square matchstick patterns?

Tn=3n+1T_n = 3n + 1

Using Tn=5n+1T_n = 5n + 1, how many matchsticks are needed for 10 houses?

51

What type of formula do linear growth patterns (like connected houses) typically use?

Tn=an+bT_n = an + b

What should you check when solving for nn in a pattern problem?

If nn is a whole number

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