Stack of poles has 24 poles in the bottom row, 23 poles in the next row, and so on, with 9 poles in the top row. How many poles are there in the stack?

There are 264 poles in the stack.

Explanation:

Number of poles in bottom row = 24

Number of poles in second last row in bottom = 23

Number of poles in top row in bottom = 9

24,23,.....9 (arithmetic sequence)

d =

Number of row in which 9 poles are present be n

the nth term is given by:

So, there are total 16 rows.

The sum of the nth term in arithmetic sequence is given by :

So, total numbers of poles in stack:

There are 264 poles in the stack.

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