document.write( "Question 902565: 5, 14, 30 form a pattern. Determine the fifth term. \n" ); document.write( "

Algebra.Com's Answer #547340 by josgarithmetic(39618) $\"\"$ $\"About$

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This is only one of many possible patterns; but 5 to 14 is addition of $\"9=3%5E2\"$ , and 14 to 30 is addition of $\"16=4%5E2\"$ . The pattern can be for any term n, the n+1 term to add $\"%28n%2B2%29%5E2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "5, n=1
\n" ); document.write( " $\"5%2B%281%2B2%29%5E2=5%2B9=14\"$ .
\n" ); document.write( " $\"14%2B%282%2B2%29%5E2=30\"$ .
\n" ); document.write( " $\"30%2B%283%2B2%29%5E2=30%2B25=55\"$ .
\n" ); document.write( " $\"55%2B%284%2B2%29%5E2=55%2B36=91\"$ . \n" ); document.write( "

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