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notsponge [240]
4 years ago
14

The figures below show a pattern.

Mathematics
1 answer:
Oxana [17]4 years ago
3 0

Answer:

a_{n} = 3n + 1

Step-by-step explanation:

Th number of squares in each figure is

4, 7, 10, ....

The terms have a common difference, that is

7 - 4 = 10 - 7 = 3

The number of squares in the n th figure is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 3, thus

a_{n} = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1

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Answer:

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Step-by-step explanation:

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Subtract (1) from (2)

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