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Write the whole number in the arithmetic sequence 11/8,14/8,17/8. Do they form an arithmetic sequence. |
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Answer» a1 = 11/8, a2 = 14/8, a3 = 17/8,.... d = a2 - a1 = 14/8 - 11/8 = 3/8; Also a3 - a2 = 17/8 - 14/8 = 3/8 Hence, they will form an A.P. an = a + (n - 1)d = 11/8 + (n - 1)3/8 = \(\frac{3n+8}8\) = 1 + \(\frac{3n}8\) We get whole number, when n \(\in\) {8, 16, 24....} or n \(\in\) 8N |
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