Maths · Arithmetic and Geometric progressions
If , 3 x \) and \) are first three terms of an AP then its 5th term is
If \( (x+1), 3 x \) and \( (4 x+2) \) are first three terms of an AP then its 5th term is
- A. 14
- B. 19
- C. 24
- D. 28
Step-by-step solution
For terms in AP, common difference is constant: (3x) - (x+1) = (4x+2) - (3x). Solving gives 2x - 1 = x + 2, so x = 3. Then first term a = x+1 = 4, common difference d = 3x - (x+1) = 5. Fifth term = a + 4d = 4 + 20 = 24.
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