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gladu [14]
3 years ago
6

Wha is the nth term of 2 5 8 11 14

Mathematics
1 answer:
djyliett [7]3 years ago
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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