All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
Multiply both sides by r :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
question one C D E question two is A
Answer:
No
Step-by-step explanation:
If its a square garden then that means all 4 sides are 12 meters so 12 times 4 equals 48. This meaning you need 48 meters of wire to wire the entire fence garden.
1. Collect like terms
(n-0.3n)+(4.5-3)
2. Simplify
0.7n + 1.5
Final Answer:
0.7n + 1.5
