for what value of k are 2k,k+10 and 3k+2 in AP plzz answer quickly
Answers
Answered by
1
➡HERE IS YOUR ANSWER⬇
Since 2k, k+10 and 3k+2 are in AP,
(k+10) - 2k = (3k+2) - (k+10)
or, - k + 10 = 2k - 8
or, 3k = 18
So, k = 6.
FORMULA USED :
If a, b and c are in AP, then
b - a = c - b.
⬆HOPE THIS HELPS YOU⬅
Since 2k, k+10 and 3k+2 are in AP,
(k+10) - 2k = (3k+2) - (k+10)
or, - k + 10 = 2k - 8
or, 3k = 18
So, k = 6.
FORMULA USED :
If a, b and c are in AP, then
b - a = c - b.
⬆HOPE THIS HELPS YOU⬅
Answered by
1
According to AP,
b - a = c - b
So, 2b = (a +c) __(where a, b and c are terms at respective positions) __
2(k+10) = (2k +3k +2)
or, 2k +20 = 5k + 2
or, 3k =18
or k =6
.
Now k =6 is ur required answer..
Proud to help you.
b - a = c - b
So, 2b = (a +c) __(where a, b and c are terms at respective positions) __
2(k+10) = (2k +3k +2)
or, 2k +20 = 5k + 2
or, 3k =18
or k =6
.
Now k =6 is ur required answer..
Proud to help you.
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