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Question
Which of the following form an AP? Justify your answer.
`sqrt(3), sqrt(12), sqrt(27), sqrt(48)`
Solution
We have,
a1 = `sqrt(3)`, a2 = `sqrt(12)`, a3 = `sqrt(27)` and a4 = `sqrt(48)`
a2 – a1 = `sqrt(12) - sqrt(3)`
= `2sqrt(3) - sqrt(3)`
= `sqrt(3)`
a3 – a2 = `sqrt(27) - sqrt(12)`
= `3sqrt(3) - 2sqrt(3)`
= `sqrt(3)`
a4 – a3 = `sqrt(48) - sqrt(27)`
= `4sqrt(3) - 3sqrt(3)`
= `sqrt(3)`
Clearly, the difference of successive terms is same
Therefore given list of numbers from an AP.
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