The number of terms, 'n' is 8
<h3 /><h3>How to determine the number of terms</h3>
Let's determine the common ratio;
common ratio, r = 3/1 = 3
The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)
n is unknown
Sn = 3280
Substitute the value
3280 = 1 ( 3^n - 1) / 3- 1
3280 = 3^n -1 /2
Cross multiply
3280 × 2 = 3^n - 1
6560 + 1 = 3^n
6561 = 3^n
This could be represented as;
3^8 = 3^n
like coefficient cancels out
n = 8
Thus, the number of terms, 'n' is 8
Learn more about geometric series here:
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Answer:
Step-by-step explanation:
3 gallons of blue paint and 5 gallons of yellow paint and this answer is a fraction so is the answer.
Answer:
t=16
Step-by-step explanation:
you have to change the numbers to get just the variable.
we start from -3.
5=t/2-3
8=t/2
(we multiply by 2 instead of dividing)
8×2=16
t=16
P=rt+0.16s
365=20r+0.16(1500)
365=20r+240
125=20r
r=6.25
So Piper makes $6.25 an hour.
