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Determine the common difference of the arithmetic progression 2, 7, 12, ….

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Detailed Solution

If the given sequence is an arithmetic progression, then the common difference can be calculated as:

a₂ - a₁ or a₃ - a₂ or a₄ - a₃ and so on.

In the given A.P. 2, 7, 12, ….,

a₁ = 2 and a₂ = 7,

Hence the common difference is:

a₂ - a₁= 7 - 2

= 5

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