please help me out with this question of AP
Attachments:
Answers
Answered by
1
Hi friend,
__________________________
Given 4k+8,2k²+3k+6,3k²+4k+4 are in A.p
→we know that if a,b,c are in A.p
→ then b-a=c-b
→2b=a+c
→2(2k²+3k+6)=4k+8+3k²+4k+4
=4k²+6k+12=3k²+8k+12
→k²-2k=0
→k(k-2)=0
Therefore ,the values of k are 0,2
_________________________
I hope this will help u ;)
__________________________
Given 4k+8,2k²+3k+6,3k²+4k+4 are in A.p
→we know that if a,b,c are in A.p
→ then b-a=c-b
→2b=a+c
→2(2k²+3k+6)=4k+8+3k²+4k+4
=4k²+6k+12=3k²+8k+12
→k²-2k=0
→k(k-2)=0
Therefore ,the values of k are 0,2
_________________________
I hope this will help u ;)
khushboo05:
how did u know that 2b=a+c
Answered by
0
we know that if a,b,c are in A.p
then b-a=c-b
2b=a+c
2(2k²+3k+6)=4k+8+3k²+4k+4
=4k²+6k+12=3k²+8k+12
k²-2k=0
k(k-2)=0
Therefore ,the values of k are 0,2
then b-a=c-b
2b=a+c
2(2k²+3k+6)=4k+8+3k²+4k+4
=4k²+6k+12=3k²+8k+12
k²-2k=0
k(k-2)=0
Therefore ,the values of k are 0,2
Similar questions