Question

if k+1,3k,4k+2 are in ap then find value k find k value​

Answer 1

k+1,3k,4k+2 are in ap then find value k.

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if k+1,3k,4k+2 are in ap then find value k

Answer 2

Answer:

If the given terms are in an AP, then the value of $k=3$

Step-by-step explanation:

Given that the three terms $k+1,\ 3k,\ 4k+2$   are in AP.

We know the property of AP that the difference between each adjacent pair of terms is common and we call it as common difference , denoted by $d$.

and $d=a_{2}- a_{1}=a_{3} -a_{2}$, where $a_{1} ,a_{2} ,a_{3}$ are the terms in the AP.

So the difference between   $k+1,\ 3k$  and  $3k,\ 4k+2$ are same.

That is $3k-(k+1)=4k+2-3k$

by solving this linear equations we can find the value of k

            $3k-(k+1)=4k+2-3k\\\\3k-k-1=4k-3k+2\\\\2k-1=k+2\\\\2k-k=2+1\\\\k=3$

Hence the answer

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