Learning Target R2: I can use sigma notation to rewrite a sum and determine the sum of an expression given in sigma notation. n • For geometric series, use the following: ark-1 - a(1 − r²) = 1-r k=1 1. -1+1+3+5+7+.. 2. 4+8+16 + 32 +64 +.. n • For arithmetic series, use the following: ak k=1 n(a₁ + an) 2 For each series below, set up the sum to find the first 100 terms of the sequence. You do not need to find the value. Plug all relevant information into the appropriate formula above. Take careful note that each formula begins the index with 1 rather than 0, so re-index your sequences from Rl appropriately.
Learning Target R2: I can use sigma notation to rewrite a sum and determine the sum of an expression given in sigma notation. n • For geometric series, use the following: ark-1 - a(1 − r²) = 1-r k=1 1. -1+1+3+5+7+.. 2. 4+8+16 + 32 +64 +.. n • For arithmetic series, use the following: ak k=1 n(a₁ + an) 2 For each series below, set up the sum to find the first 100 terms of the sequence. You do not need to find the value. Plug all relevant information into the appropriate formula above. Take careful note that each formula begins the index with 1 rather than 0, so re-index your sequences from Rl appropriately.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 76E
Related questions
Question
![Learning Target R2: I can use sigma notation to rewrite a sum and determine the sum of an expression given in
sigma notation.
n
• For geometric series, use the following: ark-1 = a(1 – r”)
1-r
k=1
1. -1+1+3+5+7+..
2. 4+8+16 + 32 +64 +...
n
• For arithmetic series, use the following: ak
k=1
n(a₁ + an)
2
For each series below, set up the sum to find the first 100 terms of the sequence. You do not need
to find the value. Plug all relevant information into the appropriate formula above. Take careful note that
each formula begins the index with 1 rather than 0, so re-index your sequences from Rl appropriately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd375a7e5-ad67-4b21-afad-3fb7503a0e18%2F68917008-f5d1-49d8-826b-12a629921264%2Fu7ql1eq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Target R2: I can use sigma notation to rewrite a sum and determine the sum of an expression given in
sigma notation.
n
• For geometric series, use the following: ark-1 = a(1 – r”)
1-r
k=1
1. -1+1+3+5+7+..
2. 4+8+16 + 32 +64 +...
n
• For arithmetic series, use the following: ak
k=1
n(a₁ + an)
2
For each series below, set up the sum to find the first 100 terms of the sequence. You do not need
to find the value. Plug all relevant information into the appropriate formula above. Take careful note that
each formula begins the index with 1 rather than 0, so re-index your sequences from Rl appropriately.
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