# Kyle is making some patterns out of squares. He has made 3 rows so far. a. Find

## Question:

Kyle is making some patterns out of squares. He has made 3 rows so far.

a. Find an expression, in terms of n, for the number of squares required to make a similar arrangement in the nth row.

b. Kyle counts the number of squares used to make the pattern in the kth row. He counts 301 squares. Write down the value of k.

c. In the first q rows, Kyle uses a total of p squares.

i. Show that q^{2} + 2q − p = 0.

ii. Given that p > 1520, find the minimum number of rows that Kyle makes.

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**Related Book For**

## Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

**ISBN:** 9781292183404

1st Edition

**Authors:** Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran