LUUKUL ULSC.

32 + 12 = 2 x 22 + 2

42 + 22 = 2 x 32 + 2

52 + 32 = 2 x 42 + 2

62 + 42 = 2 x 52 + 2

a) Write the next four lines in this pattern .

b) If we take three consecutive natural numbers , what is the relation between the sum of

the squares of the first and last numbers and the square of the middle number?

c) If we take the middle number among three consecutive natural numbers is x ,what will

be the other numbers ?

d) Write the general principle in the above pattern in algebra and explain it.

# LUUKUL ULSC.

### 1 thought on “LUUKUL ULSC.<br />32 + 12 = 2 x 22 + 2<br />42 + 22 = 2 x 32 + 2<br />52 + 32 = 2 x 42 + 2<br />62 + 42 = 2 x 52 + 2<br />a) Write”

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Answer:a) 72+52=2*62+2

82+62=2*72+2

92+72=2*82+2

102+82=2*92+2