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Express the series using sigma notation. 1 + 4 + 16 + ... + 256.

Express the series using sigma notation. 1 + 4 + 16 + ... + 256.-example-1
User Jon Romero
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2 Answers

4 votes

Answer:

Choice (D)

Explanation:

The series is exponential, so only (C) and (D) are candidates. The first element of the series is 1, which is produced by 4^0, so k must include 0. This matches choice (D), and excludes choice (C).

User Jeffrey Mixon
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7.8k points
2 votes

Answer:

D) is the correct option .

Explanation:

Given : 1 + 4 + 16 + ... + 256.

To find : Express the series using sigma notation.

Solution : We have given that

1 + 4 + 16 + ... + 256.

We can see the relation between the numbers in series.


4^(0)  = 1\\4^(1)  = 4\\4^(2)  = 16........4^(4)  = 256

So we can write the series as
4^(k).

But value of k lies from 0 to 4.

Then Sum :
4^(0) + 4^(1)  + 4^(2) +........+4^(4).

Therefore, D) is the correct option .

User Al Belmondo
by
8.1k points

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