document.write( "Question 34411This question is from textbook College Algebra
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document.write( ": 1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
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document.write( "a) What is d, the difference between any 2 terms? \r
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document.write( "b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? \r
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document.write( "c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? \r
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document.write( "d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms? \r
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document.write( "e) What observation can you make about these sums of this series (HINT: They tell me it would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Help, Help, Help Please?
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Algebra.Com's Answer #20664 by mukhopadhyay(490)![]() ![]() ![]() You can put this solution on YOUR website! a) Difference is 2; \n" ); document.write( "b) a(101) = 1+(101-1)(2) = 1+200 = 201; \n" ); document.write( "c) S(20) = 20(1 + 19(2)/2) = 20(1+19) = 400; \n" ); document.write( "d) S(30) = 30(1 + (29)2/2) = 30(30) = 900 \n" ); document.write( "e) Observation : Sum is the same as the square of the number of terms. \n" ); document.write( " |