document.write( "Question 376960: Find the 7th term of the geometric sequence −8, 4, −2, ...
\n" ); document.write( "(a) by listing out the first terms of the sequence.
\n" ); document.write( "(b) by using a formula for finding the nth term of a geometric sequence.\r
\n" ); document.write( "\n" ); document.write( "Then a second one which is similar is finding the 10th term of the g.s. 3, 6, 12, ...
\n" ); document.write( "(a) by listing out the first 10 terms of the sequence.
\n" ); document.write( "(b) by using a formula for finding the nth term of a geometric sequence.
\n" ); document.write( "

Algebra.Com's Answer #269874 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "geometric sequence -8, 4, -2,...
\n" ); document.write( "Finding the 7th term by listing out the first terms of the sequence:
\n" ); document.write( " -8, 4, -2, 1, -1/2, 1/4, -1/8, ...
\n" ); document.write( "using a formula for finding the nth term of a geometric sequence
\n" ); document.write( "\"a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29\" where r is the common ratio. In this ex: r = (-1/2)
\n" ); document.write( "\"a%5Bn%5D+=+-8%2A%28-1%2F2%29%5E%28n-1%29\" \r
\n" ); document.write( "\n" ); document.write( "geometric sequence 3, 6, 12, ...
\n" ); document.write( "Finding the 10th term by listing out the first ten terms of the sequence:
\n" ); document.write( "3, 6, 12, 24, 48, 96, 192, 384, 768, 1536
\n" ); document.write( "using a formula for finding the nth term of a geometric sequence
\n" ); document.write( "\"a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29\" where r is the common ratio. In this ex: r = 2
\n" ); document.write( "\"a%5Bn%5D+=+3%2A%282%29%5E%28n-1%29\"
\n" ); document.write( "CHECKING our Anwer
\n" ); document.write( "\"a%5B10%5D+=+3%2A%282%29%5E%289%29+=+1536\"
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