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Mathematics - Algebra

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Three problems attached.

Show the terms and find the sum
1)

Terms: ?
Sum: ?

2)

Terms: ?

Sum: ?

3) Find the coefficient of the term x^5 y^3 in the expansion of (4x-y)^8.

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Solution Summary

Complete, neat and step-by-step solutions are provided for the precalculus problems. The terms are shown and the sum is found.

Solution Preview

(1) (i + 1)^-1 = 1/(i + 1); i from 1 to 5

Terms: {1/2, 1/3, 1/4, 1/5, 1/6}

Sum: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = (30 + 20 + 15 + 12 + 10)/60 = 87/60

(2) (1/j)(-1)^j; j from 0 to ...

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