Sequence Convergent or Divergent

Write an explicit formula for the sequence {3, 6, 12, 24, ...}

• a_n = n + 3

• a_n = 2a_{n - 1}

• a_n = (1.5)(2)ⁿ

• a_n = 2n

• Converges to 0

• Converges to 2

• Converges to 5

• Diverges

• Converges to 0

• Converges to 1

• Converges to 3

• Diverges

• Converges to 0

• Converges to 1

• Converges to 5

• Diverges

• Diverge

• Converge to 0

• Cannot be determined

• Converges to 1

• Converges to 4

• Diverges

• Converges to 0

(Review) An arithmetic sequence has a₁₅ = 160 and a common difference of -15. Find a₄₀.

• 535

• 370

• -170

• -215

A geometric sequence is as follows {40, 36, 32.4, ...}

Does this sequence converge or diverge?

• Diverge

• Converge to 0

• Converges to 20

• Converges to 1

• Converge to 5

• Diverge

• Converge to 1

Determine whether the sequence converges or diverges. If it converges, give the limit.

• Diverges

• Converges to 1

• Converges to 1000