State whether the following sequence is an AP or not: 1, 3, 6, 10………

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#### Solution

The given sequence is 1, 3, 6, 10, …………

Here t_{1} = 1, t_{2} = 3, t_{3} = 6, t_{4} = 10

Then,

t_{2}- t_{1} = 3-1 = 2

t2- t_{3} = 6-3 = 3

t_{4}- t_{3} = 10-6 = 4

t_{2}- t_{1}≠ t2- t_{3}≠ t_{4}- t_{3}

Since the difference between two consecutive terms is not constant.

Therefore the given sequence is not an A.P.

Concept: Arithmetic Progression

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