The geometric series is convergent and the value is 16.
<h3>How to illustrate the information?</h3>
Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:
S = t_1/(1 - r)
Note that:
3 = (4)(3/4)
9/4 = (3)(3/4)
27/16 = (9/4)(3/4)
So this a geometric series with t_1 = 4 and r = 3/4. Therefore:
4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16
The correct option is 16.
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
4+3+ 9/4 +27/16 +???
choices are
1. 3/4
2. 12
3. 4
4. divergent
5. 16
20/100 could be converted to 2/10 or 1/5
2/8 could be converted to 1/4
90/100 could be converted to 9/10
Answer:
Step-by-step explanation:
1st picture on left: no solution
2nd picture on right infinitely many solutions
Answer:yessir
Step-by-step explanation:
One number is x.
The other number is 2 more than 3 times the first number, so it's 3x+2.
The sum of the numbers is 22.
The numbers are 5 and 17.
