- #1

- 16

- 0

## Main Question or Discussion Point

n

∑ 3

k=0

How does this make sense when k=0?

∑ 3

k=0

How does this make sense when k=0?

- B
- Thread starter StevenJacobs990
- Start date

- #1

- 16

- 0

n

∑ 3

k=0

How does this make sense when k=0?

∑ 3

k=0

How does this make sense when k=0?

- #2

- 319

- 64

The sum is ##3+3+...=3(n+1)##

- #3

- 16

- 0

Oh okay. The lower bound is the index origin and doesn't matter if it is negative?The sum is ##3+3+...=3(n+1)##

n

∑ 3

k=-1

3+3+...=3(n+2)

- #4

- 319

- 64

Correct!

- #5

DrClaude

Mentor

- 7,155

- 3,295

To summarise,

$$

\sum_{k=a}^{b} c = c (b-a+1)

$$

for constant ##c##.

$$

\sum_{k=a}^{b} c = c (b-a+1)

$$

for constant ##c##.

- #6

jbriggs444

Science Advisor

Homework Helper

2019 Award

- 8,315

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i.e. one is counting fence posts, not sections of wire.To summarise,

$$

\sum_{k=a}^{b} c = c (b-a+1)

$$

for constant ##c##.

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