If the sum of the cubes of the first p natural numbers is 1296, then the arithmetic mean of the cubes of those numbers is
O 158
O 170
O 162
O 160
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158 answer ha bro jsjdbdnh
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Given : The sum of the cubes of the first p natural numbers is 1296,
To Find : arithmetic mean of the cubes of those numbers
O 158
O 170
O 162
O 160
Solution:
∑p³ ={ p(p + 1)/2 }²
∑p³ = 1296
=> { p(p + 1)/2 }² = 1296
=> p(p + 1)/2 = 36
=> p(p + 1) = 72
p(p + 1) = 8 *9
p = 8
arithmetic mean of the cubes of those numbers = 1296/8
= 162
arithmetic mean of the cubes of those numbers is 162
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