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What is the sum of the first five terms of a geometric series with a1 6 and r 13?
The sum of the first five terms of a geometric series can be calculated using the formula ( S_n = a_1 \frac{1 - r^n}{1 - r} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the number of terms. Here, ( a_1 = 6 ), ( r = 13 ), and ( n = 5 ). Substituting these values into the formula gives: [ S_5 = 6 \frac{1 - 13^5}{1 - 13} = 6 \frac{1 - 371293}{-12} = 6 \cdot \frac{-371292}{-12} = 6 \cdot 30939 = 185634 ] Thus, the sum of the first five terms is 185634.
What is a finite sequence?
A finite sequence is a list of numbers or elements that has a specific, limited number of terms. Each term in the sequence is typically defined by a particular rule or formula, and the sequence terminates after reaching its last term. Unlike infinite sequences, which continue indefinitely, finite sequences can be fully enumerated and counted. Examples include the sequence of integers from 1 to 10 or the first five terms of a geometric series.
What are the first five terms of t(n)5n-2?
7
What are the first five terms of the sequence whose nth term is N4 plus 225?
2,1,0 is th sequence of its terms
What are the first five terms of the sequence with nth term is 7n + 3?
no clue
What is the sum of the first five terms of a geometric series with a1 6 and r 13?
The sum of the first five terms of a geometric series can be calculated using the formula ( S_n = a_1 \frac{1 - r^n}{1 - r} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the number of terms. Here, ( a_1 = 6 ), ( r = 13 ), and ( n = 5 ). Substituting these values into the formula gives: [ S_5 = 6 \frac{1 - 13^5}{1 - 13} = 6 \frac{1 - 371293}{-12} = 6 \cdot \frac{-371292}{-12} = 6 \cdot 30939 = 185634 ] Thus, the sum of the first five terms is 185634.
The sum of the first 5 terms of an arithmetic series is 85. The sum of the first 6 terms is 123. Determine the first four terms of the series.?
Suppose the first term is a, the second is a+r and the nth is a+(n-1)r. Then the sum of the first five = 5a + 10r = 85 and the sum of the first six = 6a + 15r = 123 Solving these simultaneous equations, a = 3 and r = 7 So the first four terms are: 3, 10, 17 and 24
What is a finite sequence?
A finite sequence is a list of numbers or elements that has a specific, limited number of terms. Each term in the sequence is typically defined by a particular rule or formula, and the sequence terminates after reaching its last term. Unlike infinite sequences, which continue indefinitely, finite sequences can be fully enumerated and counted. Examples include the sequence of integers from 1 to 10 or the first five terms of a geometric series.
The first HBO series ever to win an Emmy went on to win five of them?
What show, the first HBO series ever to win an Emmy, went on to win five of them?What sho The first HBO series ever to win an Emmy went on to win five of them?w, the first HBO series ever to win an Emmy, went on to win five of them?
How many terms did the first five presidents serve?
All but John Adams served two terms. The total of the first five was nine terms or 36 years (almost - Washington's first term was about an month short.)
How do you spell pentalon?
The likely word is "pentathlon" (a series of five competitions as a single Olympic event).The five-sided geometric shape is a pentagon.
What do you call a 5 sided geometric shape?
A five sided geometric shape is called a pentagon.
How many books are in the five ancestors series?
There are seven in the first series, however the second series is still being published.
What is the first famous five book called?
the first famous five book are the outsiders,
What is a Five-sided geometric shape called?
Pentagon.
What is a Five faced geometric solid?
triangular prism
What are the first five terms of t(n)5n-2?
7
