Answer:
The given series converges and
Step-by-step explanation:
Given is 108, -18, 3,...
It is an alternate series. An alternate series is convergent if:
1. The series is decreasing.
2. If the last term (n-th term) of series converges to 0.
<u>Since each next term is less than its preceding term, so it is decreasing.</u>
First term, a = 108
Second term = -18
Common ratio, r = -18/108 = -1/6
General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ
<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>
Hence, the given series converges.
Now limit will be:
Hence,
Yes it does have a great day
Answer:
Perpendicular lines.
Step-by-step explanation:
They are called perpendicular lines.
If the slope of one line is m them the slope of the other is -1/m.
Answer: $19.60
Step-by-step explanation:
24.50 x 20% or (.20)= 4.90
24.50-4.90=19.60
$19.60 is the answer
Answer:
Student that play,
baseball: 18
Both= 30
basketball= 17
Step-by-step explanation: