Question

3,k-2,5 are in AP.Find k​

Answer 1

Step-by-step explanation:

ATQ

$\qquad\sf {:}\rightarrowtail t_2-t_1=t_3-t_2$

$\qquad\sf {:}\rightarrowtail (k-2)-3=5-(k-2)$

$\qquad\sf {:}\rightarrowtail k-2-3=5-k+2$

$\qquad\sf {:}\rightarrowtail k-5=3-k$

$\qquad\sf {:}\rightarrowtail k+k=3+5$

$\qquad\sf {:}\rightarrowtail 2k=8$

$\qquad\sf {:}\rightarrowtail k=\dfrac{8}{2}$

$\qquad\sf {:}\rightarrowtail k=4$

Answer 2

Answer:

➡️a=3,b=k-2,c=5

➡️2b=a+b

➡️2k-2=3+5

➡️2k-2=8

➡️2k=8+2

➡️2k=10

➡️k=10

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2

➡️k=5

Step-by-step explanation:

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