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A grocer stacks oranges in a four-sided pyramid that is 7 layers high. How many oranges are in the pile?
The explicit formula for a pyramidal sequence is P(n)= n(n+1)(2n+1)
6
A.120
B.504
C.840
D.140

Respuesta :

jcherry99
Short Answer D
P(1) = 1(1+1)(2*1 + 1)/6
P(1) = 1(2)(2 +1) / 6
P(1) = 1(2)(3)/6
P(1) = 1

P(2) = 2(2+1)(2*2 + 1) / 6
P(2) = 2(3)(5) / 6
P(2) = 5 So this formula is adding as it goes along. To Find the Total all we need do is use the formula to calculate P(1) to P(7)

P(7) = 7*(7 + 1)(2*7 + 1)/6
P(7) = 7 * 8 * 15 / 6
P(7) = 7 * 4 * 5 
P(7) = 140 <<<< Answer

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