The formula for a finite geometric series is:
a₁ is the first term of the geometric series. From the given series we can see that the first term of the series is 16.
r is the common ratio of the series. r can be found by dividing a term by its previous term. so r for the given series will be:
r = 24/16 = 3/2
n is the number of terms in the series. We can use the general formula of a Geometric Series to find the number of terms in the given series:
We want to find at which number in the series is 81 located. Using the values, we get:
This means, there are 5 terms in the given series.
Using the values in the formula, we get:
This means, the sum of given geometric series is 211.
Answer:
<em>24 children</em>
Step-by-step explanation:
If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;
k is the constant of proportionality
If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6
Substitute:
6 = k/16
k = 6*16
k = 96
W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x
y = 96/4
y = 24
<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>
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Answer:
17600
Step-by-step explanation:
hope this helps!!!!!