Q. 3 G

# Check for an arithmetic progression in the following lists of numbers of any one of these as an arithmetic progression, then find its common difference and also write its next four terms—

0.2, 0.22, 0.222, ….

Answer :

Let the arithmetic progression be a_{1}, a_{2}, a_{3}, a_{4} ……. So here

a_{2} – a_{1} = 0.22 – 0.2 = 0.02

a_{3} – a_{2} = 0.222 – 0.22 = 0.002

For each term common difference is not same. So this sequence is not an arithmetic progression.

Hence, No

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