# what is the nth term
an stands for what?
and what is N?

### Asked by arunsimla | 19th Oct, 2014, 05:19: PM

Expert Answer:

### The nth term is the general term of a series. a_{n} stands for nth term of the series. 'N' stands for the no. of terms.
For eg: Suppose for a series:1,4,7,10,........
Here (first term)a=1,(common difference)d=3
The general term / nth term of this series is
t_{n} =a+(n-1)d
=1+(n-1)3
=1+3n-3
=3n-2
This term t_{n} denotes the general term of the series. If you put n=3, in this term you get t_{3} = 3×3-2=7, which is the third term in the series.
The same principle applies to any series.
Hope your doubt is cleared.

_{n}stands for nth term of the series. 'N' stands for the no. of terms.

_{n}=a+(n-1)d

_{n}denotes the general term of the series. If you put n=3, in this term you get t

_{3}= 3×3-2=7, which is the third term in the series.

### Answered by Prasenjit Paul | 19th Oct, 2014, 09:25: PM

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