Mathematics, 26.10.2019 05:43 ariano76
Let n be a positive integer.
(a) prove that
n^3 = n + 3n(n - 1) + 6 c(n, 3) by counting the number of ordered triples (a, b,c), where 1 < = a, b, c < = n, in two different ways.
(b) prove that
c(n + 2, 3) = (1)(n) + (2)(n - 1) + (3)(n - 2) + . . + (k)(n - k + 1) + . . + (n)(1), by counting the number of subsets of {1, 2, 3, . ., n + 2} containing three different numbers in two different ways.
Answers: 3
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The first five terms of a linear sequence are given below. 7 , 12 , 17, 22 , 27 , what is the next term of the sequence?
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Mathematics, 21.06.2019 18:30
Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.
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Mathematics, 22.06.2019 00:00
28 x 12 + 34 = ? it's for a test that if i fail on i will not proceed into the honor roll society i always dreamed of!me! worth 50 !
Answers: 1
Let n be a positive integer.
(a) prove that
n^3 = n + 3n(n - 1) + 6 c(n, 3) by cou...
(a) prove that
n^3 = n + 3n(n - 1) + 6 c(n, 3) by cou...
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