Question

Q 3. If 3x + k, 2x + 9 and x + 13 be any three consecutive terms of
an AP, find the value of k.
$d = a _{2} - a_{1} = a_{3} - a_{2}$
​

Answer 1

Answer:

k = 5

Explanation :

Refer the attached picture.

Answer 2

Answer:

d = 2x + 9 - (3x + k) = x + 13 - (2x + 9)

9 - k - x = 4 - x

9 - k - x + x = 4

9 - k = 4

9 - 4 = k

5 = k

k = 5

I hope this answer helps you

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