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.
Learn more about geometric series on:
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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
Yes this is true sure
t-13 =52 => 52 = t-13
hope helped
The rule is every number x2 plus 5
Answer:
His score is increasing by four each time, so on his 9th quiz, his score will be 89
hope that helps!
Step-by-step explanation:
11. Angle: ∠HEJ Measure: 25°
(or Angle: ∠JEK Measure: 50°)
12. Angle: ∠DEK Measure: 140°
(or Angle: ∠FEH Measure: 115°)
13. ∠JED or ∠JEF
14. ∠DEF
