The sum of the first 12 powers of a positive integer Pis 797160. Find the value of P.
3
None of these
4
2
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Given : The sum of the first 12 powers of a positive integer P is 797160.
To Find : the value of P.
2
3
4
None of these
Solution:
P¹ + P² + P³ + ___________ + P¹¹ + P¹² = 797160
a = P
r = P
Sₙ = a(rⁿ - 1)/(r - 1)
n = 12
=> P ( P¹² - 1)/(P - 1) = 797160
P = 3 satisfy this
Hence Value of P = 3
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