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3. Squares and Square Roots
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Q5 of 114 Page 3

Observe the following pattern



And write the value of 1+3+5+7+9+……… upto n terms.

The pattern here is the square of the number on the Right-hand side is equal to the sum of all the numbers on the left-hand side.


Thus, for n terms,


 1 + 3 + 5 +…..n terms = n2 [As there are n terms]

More from this chapter

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3

The square of which of the following numbers would be an old number?

(i) 731 (ii) 3456


(iii)5559 (iv) 42008

4

What will be the units digit of the squares of the following numbers?

(i) 52 (ii) 977


(iii) 4583 (iv) 78367


(v) 52698 (vi) 99880


(vii) 12796 (viii) 55555


(ix) 53924

6

Observe the following pattern


And find the value of


(i) 1002-992 (ii) 1112-1092


(iii)992-962

7

Which of the following triplets are Pythagorean?

(i) (8, 15, 17)


(ii) (18, 80, 82)


(iii) (14, 48, 51)


(iv) (10, 24, 26)


(v) (16, 63, 65)


(vi) (12, 35, 38)

Questions · 114
3. Squares and Square Roots
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