Math, asked by princekaushal, 1 year ago

For what value of k will k+9, 2k+1, 2k+7are the consecutive term of AP.?


Ayushpratapsingh2210: K = 14 hoga , 18 nahi , values put krke dekh ki AP mein h ya nahi , aur tune brainliest bhi mark kr diya
princekaushal: Bhai mujhe hint chahiye tha wo mil gya

Answers

Answered by anshika1020
6
Hello....

Let us assume

k + 9 = a
2k - 1 = b
2k + 7 = c

In AP

a + c = 2b

(k + 9) + (2k + 7) = 2(2k - 1)

k + 9 + 2k + 7 = 4k - 2

3k + 16 = 4k - 2

3k - 4k = - 2 - 16

 - k = - 18

k = 18

k = 18 terms k+9 , 2k - 1 , 2k + 7 are in AP

princekaushal: Tq
Ayushpratapsingh2210: wlcm
Ayushpratapsingh2210: oh sorry
princekaushal: Its ok
princekaushal: But anshikha in question b= 2k+1
Ayushpratapsingh2210: Brainliest mark krne se pehle chq kiya kr ki sahi se solved h bhi ya nhi , k = 14 hog
princekaushal: Ya i know
Ayushpratapsingh2210: So how can u mark a wrong answer as brainliest :/
Ayushpratapsingh2210: And i think thay u dont knw my method .
Answered by Ayushpratapsingh2210
3
For AP
2k + 1 = {(k+9)+(2k+7)} ÷ 2
2k + 1 = (3k + 16)/2
4k + 2 = 3k + 16
4k - 3k = 16 - 2
k = 14
The three terms are in AP for
k = 14
Mark as brainliest.
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