Question

Determine K so that k +2,4k-6 and 3k-2 add the three consecutive terms of an ap

Answer 1

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Question: Determine K so that k +2,4k-6 and 3k-2 add the three consecutive terms of an ap
Solution:-
because (k+2) ,(4k-6) ,(3k-2) are in AP
then,
2(4k-6) = (k+2) +(3k-2)
8k-12 = 4k
=> 8k-4k = 12
=> 4k = 12 => k= 3 answer
Formula used :
if a,b,c are in AP ,then
2b = a+c

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Answer 2

Step-by-step explanation:

(k+2)+(3k−2)=2(4k−6)

⇒4k=8k−12

⇒4k−8k=−12

⇒−4k=−12

⇒4k=12

⇒k=

4

12

=3

Hence k=3.