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:
Step-by-step explanation:
The answer is 5 :)
Answer:
$85
Step-by-step explanation:
$35 + $1 x 50 guests = $85
Answer:
Substitute, <em><u>y = -3</u></em> and <em><u>x = k</u></em> on the equation.
=> k - 2×(-3) = -2
=> k = -2 + (-6)
=> k = - 8
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