For the following exercises, determine whether the infinite series has a sum. If so, write the formula for the sum. If not, state the reason.

Expert Solution

Consider the following infinite series:

∞Σm=14m-1

Check whether the above series is geometric or not.

The given series is an exponential function with a base of 4. So, the given series will be a geometric series with common ratio of 4.

Common ratio of the series will be r = 4.

The common ratio of given geometric sequence is greater than 1. That is, the common ratio does not lie between -1 and 1.

As the common ratio of above geometric series is greater than 1, the sum of above infinite series is “Not Defined.”

Junaid answered 1 year ago

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Question

For the following exercises, determine whether the infinite series has a sum. If so, write the formula for the sum. If not, state the reason.

Solutions

Expert Solution

Related Solutions

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