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From the Pattern, We Can Say that the Sum of the First N Positive Odd Numbers is Equal to the Square of the N-th Positive Number. Putting that into Formula: 1 + 3 + 5 + 7 + ... N = N2, Where the Le - Mathematics

From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ...  n =  n2, where the left hand side consists of n terms. 

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Solution

Observe the following pattern
              1 + 3 = 22
       1 + 3 + 5 = 32
1 + 3 × 5 + 7 = 42
and write the value of 1 + 3 + 5 + 7 + 9 + ... upto n terms.

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.2 | Q 5 | Page 19
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