1.

The square of a term in the arithmetic sequence 2, 5, 8, ……., is 2500. What is its position?

Answer»

Let 2500 is the square of the nth term of the arithmetic sequence 2, 5, 8, ……

xn = dn + (f - d)

= 3n + (2 - 3) = 3n - 1

(3n - 1)2 = 2500

3n - 1 = 50

3n = 51

n = 17

It is the 17th term.



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