Quiz#18 Geometric series PDF

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Name: ___________________________ Quiz#18( / 40 ): Partial Sums; nth-term test; geometric series

1.

Find the first five terms of the sequence of partial sums. 1

2.

Cal II: Prof. Meangru

1 1 1 1 1      .... 3 5 7 9 11

Verify that the series diverges

f

(a)

§4· ¦ ¨© 3 ¸¹ n 0

n

f

(b)

2n  1 ¦ n 1 n 1 2

3.

Verify that the series converges f

(b)

¦ 0.9 

n

f

(b)

n 0

3.

1

¦ n( n  2) n 1

Determine the convergence or divergence of the series 3n  1 ¦ n 1 2n  1 f

(a)

f

(b)

§1

1 ·

¦ ¨© n  n  2 ¸¹ n 1...