Wha is the nth term of 2 5 8 11 14

1 answer:

5 0

If you look at the sequence, you would observe:

5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.

There is a common difference of 3, so the sequence is an Arithmetic Progression.

nth term of an AP = a + (n - 1)d

where a = 1st term = 2, d = common difference = 3

nth term of an AP = a + (n - 1)d

nth term of an AP = 2 + (n - 1)*3 = 2 + 3*n - 3*1 = 2 + 3n - 3

= 2 - 3 + 3n

= -1 + 3n

= 3n - 1

The nth term = 3n - 1, where n = 1, 2, 3, 4, 5,....

I hope this explains it.

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