Answer:
The first term of the geometric series is 1
Step-by-step explanation:
In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.
Mathematically, the sum of terms in a geometric series can be calculated as;
S = a(r^n-1)/( r-1)
where a is the first term that we are looking for
r is the common ratio which is 3 according to the question
n is the number of terms which is 8
S is the sum of the number of terms which is 3280 according to the question
Plugging these values, we have
3280 = a(3^8 -1)/(3-1)
3280 = a( 6561-1)/2
3280 = a(6560)/2
3280 = 3280a
a = 3280/3280
a = 1
Answer:
Weekly pay = 3x + 50
Step-by-step explanation:
x is the number of sales made during the week
Answer:
Nolan's time is 100 seconds.
Step-by-step explanation:
Kong took 85 seconds.
Nolan took x seconds.
Kong took 15% fewer seconds than Nolan, so Kong's time is 85% of Nolan's time.
Kong's time is
85% of x or 0.85x
Kong's time is 85 seconds
0.85x = 85
x = 85/0.85
x = 100
Nolan's time is 100 seconds.
