Arithmetic Series with Sigma Notation

This summation is the same as which series?

• 1 + 2 + 3 + 4 + 5 + 6
• (1 - 2) + (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) + (6 - 2)
• (1 - 2) + (6 - 2)
• (1 - 2) + (2 - 2) + (3 - 2) + (4 - 2)

Evaluate.

• 290

• 278

• 250

• 295

Evaluate.

• 2445

• 3360

• 2500

• 3500

Is this summation finite or infinite?

• Finite, because there are only 6 terms to add up.
• Infinite, because there are an infinite number of terms to add up.

Evaluate the series.

• 36
• 85
• 35
• 86

• 196
• 392
• 49
• 254

Is this sum divergent or convergent?

• Divergent, because the sum adds up to infinity.
• Convergent, because the sum adds up to about 1/4

Is this sum finite or infinite?

• Finite, because there are only a few terms to add up.
• Infinite, because there are an infinite amount of terms to add up. ("m goes from 1 to infinity")

Is this sum divergent or convergent?

• Convergent, because the sum adds up to a single value (0.5)
• Divergent, because the sum adds up to infinity.