Express the following numbers as the sum of odd numbers using the pattern?(a) 6^3(b) 8^3(c) 7^3
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a) 6^3= 216 b) 8^3= 512 c) 7^3= 343
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Answer:
Step-by-step explanation:
(a) 6³
n= 6 and n-1 = 5
we start with 6 × 5 +1 = 31
6³= 31 + 33+ 35 + 37+ 39 + 41= 216
(b) 8³
n = 8 and n-1 = 7
we start with 8 × 7 +1 = 57
8³ = 57 + 59+ 61+ 63 + 65 + 67 + 69 + 71 =512
(c) 7³
n = 7 and n-1 = 6
we start with 7 × 6 +1 = 43
7³ = 43 + 45+ 47 + 49 + 51+ 53 + 55 = 343
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