Alyce Wilkinson
2021-02-05
Answered

For the following infinite series, find the first four terms of the sequence of partial sums. Then make a conjecture about the value of the infinite series or state that the series diverges.

$\sum _{k=1}^{\mathrm{\infty}}{10}^{k}$

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Theodore Schwartz

Answered 2021-02-06
Author has **99** answers

Given, the series is

We have to find the first four terms of the sequence of partial sums, make a conjecture and state that the series is divergent.

1. If

2.If

Now, to find the first four terms of a sequence of partial sums

Since

Now,

Hence the series is divergent.

Jeffrey Jordon

Answered 2021-12-25
Author has **2262** answers

Answer is given below (on video)

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