document.write( "Question 1058335: In the set (5, 8, 11, 14,......, 95), how many of the numbers are even? \n" ); document.write( "

Algebra.Com's Answer #673376 by rothauserc(4718) $\"\"$ $\"About$

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this is an arithmetic sequence, the nth term is given by
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\n" ); document.write( "x(n) = x(1) + (d * (n-1)), where d is the common difference
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\n" ); document.write( "95 = 5 + (3 * (n-1))
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\n" ); document.write( "95 = 5 + 3n - 3
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\n" ); document.write( "3n = 93
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\n" ); document.write( "n = 31
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\n" ); document.write( "we have 31 terms to consider
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\n" ); document.write( "since 95 is odd, we have (31-1) / 2 = 15 even numbers
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