If (k –3), (2k + 1) and (4k + 3) are three consecutive terms of an A.P
Algebra (10)If (k –3), (2k + 1) and (4k + 3) are three consecutive terms of an A.P, find the value of k
Answer
(𝑘 - 3), (2𝑘 + 1), (4𝑘 + 3)
𝑘 - 3, 2𝑘 + 1, 4𝑘 + 3 in AP implies
(2𝑘 + 1) - (𝑘 - 3) = (4𝑘 + 3) - (2𝑘 + 1)
∴ 2𝑘 + 1 - 𝑘 + 3 = 4𝑘 + 3 - 2𝑘 - 1
𝑘 + 4 = 2𝑘 + 2
∴ 2𝑘 - 𝑘 = 4 - 2 𝑜r 𝑘 = 2
- Exam Year: 2018