should you indent examples when writing a essay

The beginning of this paragraph is indented. Standard paragraph indentation is about five spaces or one-quarter to one-half of an inch, depending on which style guide you follow. In online writing, if your software doesn’t allow indentation, insert a line space to indicate a new paragraph.
In a composition, an indentation is a blank space between a margin and the beginning of a line of text.

The first pair of paragraphs are not indented, there is line-space between them.
Are you meant to indent when you start a new paragraph?

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Indent the first line of each paragraph of text 0.5 in. from the left margin. Use the tab key or the automatic paragraph-formatting function of your word-processing program to achieve the indentation (the default setting is likely already 0.5 in.). Do not use the space bar to create indentation.
This guidance has been expanded from the 6th edition.

Another sample block-style letter is provided below from the eBook Everyday Letters for Busy People. (Click on the link to the left or the image below to go directly to this section in the eBook!) Note: Your block letter will likely not include the “Account Number” line, “Attention: Customer Service Manager”, or “Receipt enclosed”.
In block format, the entire text is left aligned and single spaced. The exception to the single spacing is a double space between paragraphs (instead of indents for paragraphs).

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• Paragraphs are indented 0.5” or Tab key once.
• Check the APA Help guide to see a Sample Paper.

Yes, indent the first line of every paragraph, except for the Abstract (see instructions below).

References:

http://english.stackexchange.com/questions/8941/is-an-indentation-needed-for-a-new-paragraph
http://fearlessfabric.co.uk/wp-includes/post-zbe.php?essay=do-in-you-indent-essay-a
http://le.ac.uk/library/academic-skills
http://apastyle.apa.org/style-grammar-guidelines/paper-format/paragraph-format
http://rasmussen.libanswers.com/faq/33178
http://loewe-concierge.de/wp-includes/class-ilb.php?list=and-writing-essay-essays
http://askus.baker.edu/faq/216872
http://www.toppr.com/guides/essays/