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Problem 660

Given that the first term of an arithmetic sequence is 56 and the seventeenth term is 32 , find the tenth term and the twenty - fifth term.

Expert verified

The tenth term of the arithmetic sequence is \(\dfrac{85}{2}\), and the twenty-fifth term is 20.

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Chapter 22

The sum of three numbers in arithmetic progression is 27 , and the sum of their squares is 293 ; find them.

Chapter 22

Find the first four terms of the geometric progression generated by the exponential function \(\mathrm{f}(\mathrm{x})=12(3 / 2)^{\mathrm{x}}\) if the domain of the function is the set of nonnegative integers \((0,1,2,3, \ldots)\)

Chapter 22

Find the sum of the first six terms of a geometric progression whose first term is \(1 / 3\) and whose second term is \(-1\).

Chapter 22

Find the first six terms of the sequence determined by the function \(g(x)\), where \(x=1,2,3,4,5,6\) \(g(x)=x^{2} / x !, x\) a positive integer

Chapter 22

Find the sum of the first four terms of the geometric series $2+(-3)+1 / 18+\ldots$

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