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muminat
3 years ago
6

15 points please help

Mathematics
2 answers:
scoundrel [369]3 years ago
4 0

Answer:

Sn = a1 (1-r^n)/ (1-r)

Step-by-step explanation:

The formula for the sum of a geometric sequence summations is given by

Sn = a1 (1-r^n)/ (1-r)

  where a1 is the first term, r is the common ratio and n is the term number we are summing up to

Ber [7]3 years ago
3 0

Hello from MrBillDoesMath!

Answer:

The second choice,   a1 (1-r^n)/(1-r)

Discussion:

Let

S= a1 + a1*r + a1*r^2 +......+a1* r^(n-1)                  (*)

be a geometric series with n terms

Multiply both sides by "r":

Sr = a1*r + a1*r^2 +...        + a1*r^(n-1) + a1*r^(n)    (**)            

Subtracting (*) from (**) gives

S-Sr = a1 - a1*r^(n)

       = a1 ( 1 - r^(n))

As S=Sr = S (1-r)

S (1-r) = a1 ( 1 - r^(n))

Divide both sides by (1-r)

S = a1 ( 1 - r^(n)) /(1-r)

Thank you,

MrB

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Answer:

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Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

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Therefore, AB=2x+17=2*9+17=18+17=35, and AB=BC=AC=35. Hope this helps!  

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