Sequences and series

ผลบวกของ 3 + 2 +  $\frac{4}{3}$  + ... มีค่าตรงกับข้อใด

• 10

• 9

• 8

• 7

Determine whether the sequence is convergent or divergent:

a_n=2 (⅓)^n-1

• Convergent

• 

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

• Diverges

• Converges to 1

• Converges to 1000

Evaluate the sum

• no sum exists
• 5
• 10
• 20

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

• 5/4

• 9/5

• 5/6

• 65/27

Which of the series below is CONVERGENT?

• a₁=4

  a_n= ³/₂•a_n-1, n≥2

• a₁=3

  a_n=a_n-1-6, n≥2

• a_n = 4(⅓)^n-1

• a_n = ⅓(4)^n-1

The sum of the terms of a geometric sequence.

• Limits

• Geometric Series

• Converges

• Diverges

 $\sum_{n=0}^{\infty}\left(-\frac{2}{3}\right)^n$  Find the sum of the convergent series.

(a)  

which statement is correct for these series

1) 21+63+189+........

2) 480+360+270+........

• the first is convergent and the second is divergent

• the first and the second both are convergent

• the first is divergent and the second is convergent

• both are divergent

Given a₁ = 6 and r = .4, determine if the series converges, diverges or can’t be determined.

• Can't be determined

• converges

• diverges

• School is almost out!