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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 54SE: Write 0.65 as an infinite geometric series using summation notation. Then use the formula for...

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