Write answer as x= x-21=99
2 answers:
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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,
Answer:
The average acceleration of the cyclist was 0.6 m/s².
Step-by-step explanation:
Acceleration:
The rate change of velocity per unit time is call the acceleration of the object.
u= initial velocity
v= final velocity
t= time taken change of velocity.
During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s
Here v= 7 m/s and u=4 m/s t=5 seconds
=0.6 m/s²
The average acceleration of the cyclist was 0.6 m/s².