1979 AHSME Problems/Problem 14
Problem 14
In a certain sequence of numbers, the first number is , and, for all , the product of the first numbers in the sequence is . The sum of the third and the fifth numbers in the sequence is
Solution
Solution by e_power_pi_times_i
Since the product of the first numbers in the sequence is , the product of the first numbers in the sequence is . Therefore the th number in the sequence is . Therefore the third and the fifth numbers are and respectively. The sum of those numbers is .
See also
1979 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 15 | |
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