Very-Short and Short-Answer Questions

Question:

Very-Short and Short-Answer Questions

If k, (2k − 1) and (2k + 1) are the three successive terms of an AP, find the value of k

Solution:

It is given that k, (2k − 1) and (2k + 1) are the three successive terms of an AP.

$\therefore(2 k-1)-k=(2 k+1)-(2 k-1)$

$\Rightarrow k-1=2$

$\Rightarrow k=3$

Hence, the value of k is 3.

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