document.write( "Question 39308: Need help solving assignment due tongiht.
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document.write( "2) Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
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document.write( "a) What is r, the ratio between 2 consecutive terms?
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document.write( "Answer:
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document.write( "b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
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document.write( "Answer:
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document.write( "c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
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document.write( "Answer:
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Algebra.Com's Answer #24853 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! SEE THE FOLLOWING SIMILAR EXAMPLES AND TRY.IF STILL IN DIFFICULTY PLEASE COME BACK \n" ); document.write( "------------------------------------------------------- \n" ); document.write( "1) Use the geometric series \n" ); document.write( "of numbers 1, 2, 4, 8,…to find the following: \n" ); document.write( "a) What is r, the ratio between 2 consecutive terms? \n" ); document.write( "b) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is the 24th term? \n" ); document.write( "c) Using the formula for the sum of a geometric \n" ); document.write( "series, what is the sum of the first 10 terms? \n" ); document.write( "pls help \n" ); document.write( "1 solutions \n" ); document.write( "Answer 14006 by venugopalramana(1619) About Me on \n" ); document.write( "2006-01-31 05:56:57 (Show Source): \n" ); document.write( ") Use the geometric series of numbers 1, 2, 4, 8,…to \n" ); document.write( "find the following: \n" ); document.write( "a) What is r, the ratio between 2 consecutive terms? \n" ); document.write( "b) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is the 24th term? \n" ); document.write( "c) Using the formula for the sum of a geometric \n" ); document.write( "series, what is the sum of the first 10 terms? SUM IS \n" ); document.write( "GIVEN BY \n" ); document.write( "SN=A(R^N-1)/(R-1) \n" ); document.write( "S10=1*(2^10-1)/(2-1)=2^10-1 \n" ); document.write( "SEE THE FOLLOWING EXAMPLE AND SOLVE \n" ); document.write( "Use the geometric series of numbers 1, 1/2, 1/4, \n" ); document.write( "1/8,…to find the following: \n" ); document.write( "a) What is r, the ratio between 2 consecutive terms? \n" ); document.write( "R=(1/2)/1=1/2...IT IS SAME FOR ANY 2 CONSECUTIVE \n" ); document.write( "TERMS...SAY \n" ); document.write( "(1/8)/(1/4)=1/2...ETC...... \n" ); document.write( "b) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is 10th term? \n" ); document.write( "TN=A*(R)^(N-1)=1*(1/2)^(N-1) \n" ); document.write( "T10=(1/2)^(10-1)=(1/2)^9 \n" ); document.write( "c) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is 12th term? \n" ); document.write( "T12=(1/2)^11 \n" ); document.write( "d) What observation can make about these sums? In \n" ); document.write( "particular, what number does it appear that the sum \n" ); document.write( "will always be smaller than? \n" ); document.write( "THE NUMBERS TEND TO ZERO AS N INCREASES TO LARGE \n" ); document.write( "NUMBERS AND TOWARDS INFINITY. \n" ); document.write( "SUM OF A G.P. TO INFINITE TERMS WITH R<1 IS GIVEN BY \n" ); document.write( "A/(1-R)=1/(1-0.5)=2\r \n" ); document.write( "\n" ); document.write( "Geometric_formulas/26075: 10) Use the geometric series \n" ); document.write( "of numbers 1, 1/2, 1/4, 1/8,…to find the following: \n" ); document.write( "a) What is r, the ratio between 2 consecutive terms? \n" ); document.write( "b) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is 10th term? \n" ); document.write( "c) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is 12th term? \n" ); document.write( "d) What observation can make about these sums? In \n" ); document.write( "particular, what number does it appear that the sum \n" ); document.write( "will always be smaller than? \n" ); document.write( "1 solutions \n" ); document.write( "Answer 14005 by venugopalramana(1619) About Me on \n" ); document.write( "2006-01-31 05:54:54 (Show Source): \n" ); document.write( "Use the geometric series of numbers 1, 1/2, 1/4, \n" ); document.write( "1/8,…to find the following: \n" ); document.write( "a) What is r, the ratio between 2 consecutive terms? \n" ); document.write( "R=(1/2)/1=1/2...IT IS SAME FOR ANY 2 CONSECUTIVE \n" ); document.write( "TERMS...SAY \n" ); document.write( "(1/8)/(1/4)=1/2...ETC...... \n" ); document.write( "b) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is 10th term? \n" ); document.write( "TN=A*(R)^(N-1)=1*(1/2)^(N-1) \n" ); document.write( "T10=(1/2)^(10-1)=(1/2)^9 \n" ); document.write( "c) Using the formula for the nth term of a geometric \n" ); document.write( "series, what is 12th term? \n" ); document.write( "T12=(1/2)^11 \n" ); document.write( "d) What observation can make about these sums? In \n" ); document.write( "particular, what number does it appear that the sum \n" ); document.write( "will always be smaller than? \n" ); document.write( "THE NUMBERS TEND TO ZERO AS N INCREASES TO LARGE \n" ); document.write( "NUMBERS AND TOWARDS INFINITY. \n" ); document.write( "SUM OF A G.P. TO INFINITE TERMS WITH R<1 IS GIVEN BY \n" ); document.write( "A/(1-R)=1/(1-0.5)=2 \n" ); document.write( " |