The sum of the series up to the 12 terms will be 40.5.
<h3>What is the sum of a geometric sequence?</h3>
Let a₁ be the first term, n be the total number term, and r be a common ratio.
Then the sum of the geometric sequence will be
Sₙ = [a₁ (1 - rⁿ)] / (1 - r)
The series is given below.
27 + 9 + 3 + 1 + ... + 1/6561
The first term is 27 and the common ratio is 1/3.
The number of the term will be
1/6561 = 27 · (1/3)ⁿ⁻¹
1/177147 = (1/3)ⁿ⁻¹
(1/3)¹¹ = (1/3)ⁿ⁻¹
11 = n - 1
n = 12
Then the sum of the series will be
Simplify the equation, then we have
S₁₂ = 27 x 0.9999 / 0.6666
S₁₂ = 27 x 1.5
S₁₂ = 40.5
The sum of the series up to the 12 terms will be 40.5.
More about the sum of arithmetic sequence link is given below.
brainly.com/question/25749583
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Answer:
18. $11
19. $1.40
20. 31
21. 4.05
22. 8.2
23. 31
24. 5.05
25. $14.99 per month
26. 3.7 oz
27. 16 miles ???
28. $6 each
Step-by-step explanation:
Hope that helps. That took a long time sorry. Also I am not a hundred percent sure on 27. If someone else has a different answer just check both
The pictures too small :(
Answer:
Solution given;
a⁴-23a²b²+b⁴
making in the form of a²+2ab+b²
a⁴+2a²b²+b⁴-2a²b²-23a²b²
(a²+b²)²-(5ab)²
factoring by using formula
x²-y²=(x+y)(x-y)
<u>(a²+5ab+b²)(a²-5ab+b²)</u>
Answer:
30.6km/h
Step-by-step explanation:
To change from m/s to km/h needs to multiple by 36/10
36/10 × 8.5
=30.6km/h