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nth Term of an AP

What value of...

Question

What value of k, 2k-1, 7 and 3K will form an AP.

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Solution

2k-1, 7 and 3K will form an AP.

using arithmetic mean property

7 =(2k-1 + 3k)/2
5k-1 =14

5k=15
k=15/5 =3

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