1.

Write the whole number in the arithmetic sequence 11/8,14/8,17/8. Do they form an arithmetic sequence.

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

\(\in\) {8, 16, 24....}

or n \(\in\) 8N



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