) Find a formula for the n th partial sum of each series given below and use it to find the sum of the series if the series converges. a)1-1/2+1/4-1/8+.....+(-1)n-1 1/2n-1+...... b)9/100+9/1002+9/1003+......+9/100n+..
) Find a formula for the n th partial sum of each series given below and use it to find the sum of the series if the series converges. a)1-1/2+1/4-1/8+.....+(-1)n-1 1/2n-1+...... b)9/100+9/1002+9/1003+......+9/100n+..
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
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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1. (a) Find a formula for the n th partial sum of each series given below and use it to find the sum of
the series if the series converges.
a)1-1/2+1/4-1/8+.....+(-1)n-1 1/2n-1+......
b)9/100+9/1002+9/1003+......+9/100n+......
b) Find the sum of each series below using the simple fractionation method.
a)∞∑n=1(1/√n)-1/√n+1) b)∞∑n=1(1/ln(n+2)-1/ln(n+1)
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