Evaluate \( \displaystyle{\sum_{a= 3}^{6} (a-2)^2} \) and \(\displaystyle{\sum_{a=1}^{4} a^2}\).

```
What do you notice?
Why does this work?
```

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestWell, the value of both of them is same, i.e., \(30\).

\[\displaystyle \sum^{6}_{a=3}(a-2)^2 \\ \text{Let, } n=a-2\Rightarrow a=n+2 \\ \displaystyle \sum^{n+2=6}_{n+2=3}n^2=\displaystyle \sum^{n=4}_{n=1}n^2 \text{ or } \displaystyle \sum^{4}_{n=1}n^2\]

Log in to reply