document.write( "Question 84239: Hello I really need help. PLEASE HELP ME... \r
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document.write( "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( "b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
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document.write( "c) Using the formula for the sum of a geometric sequence, what is the sum of the first 10 terms?
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Algebra.Com's Answer #60663 by vertciel(183)![]() ![]() ![]() You can put this solution on YOUR website! Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following: \n" ); document.write( "a) What is r, the ratio between 2 consecutive terms? \n" ); document.write( "Show work in this space.\r \n" ); document.write( "\n" ); document.write( "To find the ratio, just compare each two consecutive terms.\r \n" ); document.write( "\n" ); document.write( "Compare 1:3, 3:9, 9:27, do you see how the second integer is related to the first in terms of multiplication?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b) Using the formula for the nth term of a geometric sequence, what is the 10th term? \n" ); document.write( "Show work in this space.\r \n" ); document.write( "\n" ); document.write( "To calculate the nth term of a geometric sequence, the formula is an = (a1)(r^n-1). I assume your textbook has this.\r \n" ); document.write( "\n" ); document.write( "Substitute your values and you should get an = 3^(n-1). Try it from here.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c) Using the formula for the sum of a geometric sequence, what is the sum of the first 10 terms? \n" ); document.write( "Show work in this space. \r \n" ); document.write( "\n" ); document.write( "The formula of for the sum of a finite geometric sequence is sn = (a1 x (1 - r^n))/1 - r\r \n" ); document.write( "\n" ); document.write( "Substitute the values and you will have your answer. \n" ); document.write( " |