Math, asked by Limadagr2396, 1 year ago

Determine k so that (3k-2),(4k-6)and(k+2) are three consecutive term of an



a.P

Answers

Answered by amritaraj
4

Answer:

Step-by-step explanation:

To be terms of an AP the difference between two consecutive terms must be the same

So if k+2, 4k-6 & 3k-2 are terms of an AP, then

4k-6–(k+2) = 3k-2–(4k-6)

4k-6-k-2=3k-2-4k+6

3k-8= –k+4

4k = 12

k =12/4=3

Thus the value of k is 3

HOPE IT HELPS..... :-)

Answered by Anonymous
3

Answer:

To be terms of an AP the difference between two consecutive terms must be the same

So if k+2, 4k-6 & 3k-2 are terms of an AP, then

4k-6–(k+2) = 3k-2–(4k-6)

4k-6-k-2=3k-2-4k+6

3k-8= –k+4

4k = 12

k =12/4=3

Thus the value of k is 3

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