Answer: the first term of the series is 128
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1/4 = 0.25
n = 4
S4 = 170
Therefore, the expression for the sum of the 4 terms, S4 is
170 = a(1 - 0.25^4)/(1 - 0.25)
170 = a(1 - 0.00390625)/(1 - 0.25)
170 = a(0.99609375)/(0.75)
170 = 1.328125a
a = 170/1.328125
a = 128
Answer:
C because a b and d do not show any similaritys
Im pretty sure the answer is 65
Answer: 0.00133m/s
Step-by-step explanation:
Given
distance crawled by the snail = 6cm = 0.06m
Time taken = 0.75minutes = 0.75*60
Time taken = 45secs
Required
constant rate of change of the snail's crawl (speed)
Speed of the snail = distance/time;
Speed of the snail = 0.06/45
Speed of the snail = 0.00133m/s
Hence the constant rate of change of the snail's crawl in m/s is 0.00133m/s
