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in Arithmetic Progression by (40.3k points)
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Derive the formula for nth term of the sequence of odd natural numbers and even natural numbers.

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Sequence of odd natural numbers is 1, 3, 5, 7, …

This sequence is an A.P. with

a = 1, d = 3 – 1 = 2

\(\therefore\) The nth term of the sequence of odd natural numbers is 2n – 1.

Sequence of even natural numbers is 2, 4, 6, 8, …

This sequence is an A.P. with a = 2, d = 4 – 2 = 2

\(\therefore\)  The nth term of the sequence of even natural numbers is 2n.

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