Decide whether each infinite geometric series is convergent or divergent. State the sum of the series, if it exists.
Problem 1 :
1 - 1/3 + 1/9 - …
Problem 2 :
2 - 4 + 8 - …
State whether each infinite geometric series is convergent or divergent.
Problem 3 :
t1 = -3, r = 4
Problem 4 :
t1 = 4, r = -1/4
Problem 5 :
125 + 25 + 5 + …
Problem 6 :
(-2) + (-4) + (-8) + …
Problem 7 :
243/3125 - 81/625 + 27/25 - 9/5 + ….
1) Convergent, S∞ = 3/4
2) Divergent, does not exists.
3) The value of r = 4. So, the given series is
divergent.
4) r = -1/4. So, the given series is convergent.
5) r = 1/5. So, the given series is
convergent.
6) r = 2. So, the given series is divergent.
7) r = -5/3. So, the given series is
divergent.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM