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Question
The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms of an A.P., is ______.
Options
6
– 6
18
–18
MCQ
Fill in the Blanks
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Solution
The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms of an A.P., is 6.
Explanation:
2x, (x + 10) and (3x + 2) are in A.P.
∴ (x + 10) – 2x = (3x + 2) – (x + 10)
⇒ –x + 10 = 2x – 8
⇒ –x – 2x = – 8 – 10
⇒ –3x = –18
⇒ x = 6
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