Section 1 - Question 2 Alice is deriving the formula for the sum of a finite geometric series. Her work for the first two steps is shown. Assume for each step that r Sn = a₁ + a₂r+a₁² +₁³+...+₁²²-1 rSn = a₁ + a² + a₁²³ +₁²+...+₁² Which of the following is the correct remaining three steps to derive the formula? A B Sn-rSn = a₁-a1 Sn (1-r) = a₁ (1-¹) a₁ (1-1) 1-r Sn = Sn+rSn = a₁ + a₂ S₂ (1+r) = a₁ (1+p²²) Sn = ª1(1+r) 1+r Sn-rSn = a₁a₁-1 S₁ (1-r) = a₁ (1-1) Sn = 8:(1-7)

College Algebra
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Chapter9: Sequences, Probability And Counting Theory
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Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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Section 1 - Question 2
Alice is deriving the formula for the sum of a finite geometric series. Her work for the first two steps is shown. Assume for each step that r
Sn = a₁ + a₁ + a² +₁³+...+₁-1
rSn = a₁ + a² + a₁³ +₁²+...+₁
Which of the following is the correct remaining three steps to derive the formula?
esc
A
B
9
a
C
SnrSn = a1-a₁
Sn (1-r) = a₁ (1)
Sn = a₁(1-p")
1-r
©2022 Illuminate Education TM, Inc.
Z
Sn+rSn = a₁ + a₁²
Sn (1+r) = a₁ (1+²)
Sn = 91(1+r)
1+r
SnrSn = a₁a₁-1
Sn (1-r) = a₁ (1-1)
Sn = 91(1-7)
1-r
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Transcribed Image Text:Section 1 - Question 2 Alice is deriving the formula for the sum of a finite geometric series. Her work for the first two steps is shown. Assume for each step that r Sn = a₁ + a₁ + a² +₁³+...+₁-1 rSn = a₁ + a² + a₁³ +₁²+...+₁ Which of the following is the correct remaining three steps to derive the formula? esc A B 9 a C SnrSn = a1-a₁ Sn (1-r) = a₁ (1) Sn = a₁(1-p") 1-r ©2022 Illuminate Education TM, Inc. Z Sn+rSn = a₁ + a₁² Sn (1+r) = a₁ (1+²) Sn = 91(1+r) 1+r SnrSn = a₁a₁-1 Sn (1-r) = a₁ (1-1) Sn = 91(1-7) 1-r @ 2 W S →>> X # 3 e d C $ 4 C f PA % 5 V t 6 S hp y b & 7 h *00 8 n O i
Which of the following is the correct remaining three steps to derive the formula?
Sn-rSn = a1 - ₁
Sn (1-r) = a₁ (1-7)
Sn = a1 (1-pm)
esc
A
1
B
C
D
Sn+rSn = a₁ + a₁m²
Sn (1+r) = a₁ (1+²)
a₁(1+r)
Sn =
1+r
Sn-rSn = a₁-₁²-1
Sn (1-r) = a₁ (1-p²−1)
a₁ (1-1)
Sn =
1-r
Sn+rSn = a₁ + ₁²-1
S₂ (1+r) = a₁ (1 + pr−1)
S₁ =
©2022 Illuminate Education TM, Inc.
a₁(1+r)
1+r
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2
9 W
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Transcribed Image Text:Which of the following is the correct remaining three steps to derive the formula? Sn-rSn = a1 - ₁ Sn (1-r) = a₁ (1-7) Sn = a1 (1-pm) esc A 1 B C D Sn+rSn = a₁ + a₁m² Sn (1+r) = a₁ (1+²) a₁(1+r) Sn = 1+r Sn-rSn = a₁-₁²-1 Sn (1-r) = a₁ (1-p²−1) a₁ (1-1) Sn = 1-r Sn+rSn = a₁ + ₁²-1 S₂ (1+r) = a₁ (1 + pr−1) S₁ = ©2022 Illuminate Education TM, Inc. a₁(1+r) 1+r ® 2 9 W # 3 e 4 r t 6 hp 87 &
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