Assistance understanding Identity

This identity came revealed itself in one of the differential equations units. However, I am trying to figure out how to derive it. Would anyone be able to help me determine how to start? Thank you very much.

Easy Math Editor

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Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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Comments

I'll ask somebody I know, @Dacota Sprague

A Former Brilliant Member - 1 year, 1 month ago

@Gandoff Tan, @Chris Sapiano, can you help out @Dacota Sprague here with deriving this identity? It will be much appreciated as I told him I will help him by getting some people I know. Please?

A Former Brilliant Member - 1 year, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$