## For all positive integers $$n,$$ the sequence $$A_n$$ is defined by the following relationship:

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### For all positive integers $$n,$$ the sequence $$A_n$$ is defined by the following relationship:

by Vincen » Fri Jan 28, 2022 4:56 am

00:00

A

B

C

D

E

## Global Stats

For all positive integers $$n,$$ the sequence $$A_n$$ is defined by the following relationship:

$$A_n=\dfrac{n-1}{n!}.$$

What is the sum of all the terms in the sequence from $$A_1$$ through $$A_{10},$$ inclusive?

(A) $$\dfrac{9!+1}{10!}$$

(B) $$\dfrac{9(9!)}{10!}$$

(C) $$\dfrac{10!-1}{10!}$$

(D) $$\dfrac{10!}{10!+1}$$

(E) $$\dfrac{10(10!)}{11!}$$

Answer: C

Source: Manhattan GMAT

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