1. Write out the following sums. (2) (21 - 1) (d) 2 j(j+1) (f) 2....
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1. Write out the following sums. (2) Σ (21 - 1) (d) 2 j(j+1) (f) 2. Use the change of indices i=j+1 to rewrite the summations in Exercise 1(a)-(d). 6 (b) sin ix 1-0 10 (e) 3 (©) 2 (0) 311 3. Write the following in summation notation. (a) 2+4+6+8+10 (b) 1+8+27+64 + 125 ... (c) 28+31+34 +37+40 +43 (d) n+(n+2)+(n+4)+ + (n +2m) 4. Evaluate 2%-1 (a,-a-1) given that a, = 0. 5. Use the result of Exercise 4 to prove that 2-1 i= n(n+1)/2. Hint: Let a,i(i+1)/2. 1. Write out the following sums. (2) Σ (21 - 1) (d) 2 j(j+1) (f) 2. Use the change of indices i=j+1 to rewrite the summations in Exercise 1(a)-(d). 6 (b) sin ix 1-0 10 (e) 3 (©) 2 (0) 311 3. Write the following in summation notation. (a) 2+4+6+8+10 (b) 1+8+27+64 + 125 ... (c) 28+31+34 +37+40 +43 (d) n+(n+2)+(n+4)+ + (n +2m) 4. Evaluate 2%-1 (a,-a-1) given that a, = 0. 5. Use the result of Exercise 4 to prove that 2-1 i= n(n+1)/2. Hint: Let a,i(i+1)/2.
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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