Question

Express each of the following as the sum of odd natural numbers 12^3

please explain it step by step​

Answer 1

Step-by-step explanation:

Using Arithmetic Progression, we are going to express it.

Formula used: Sum of n odd numbers (odd or even or natural or whole, the answer is based on the difference between 2 successive terms in the series)

Sx = 1/2 x n[2a+(n-1)xd]

Total numbers n = 10

Series be 1,3,5,7,9,11... (odd numbers) First number in the sequence a = 1 terms d = 3-1 = 2

Difference between two successive

Sum of n odd numbers: Sx = 1/2 x n[2a+ (n-1)xd]

10[2(1)+(10-1)2]

S10 = 1/2 x

S10 = 1/2 x 10[2+18]

S10 = 5(20)

S₁0 = 100

Hence, It is proved.

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Answer 2

Answer:

12^3 yeeeeeeeeeeeeees 121 ans my favourite number