6people can sit together at 1 rectangular table l. if 2 tables aee placed together, 10 people can sit together. 14 people can sit if three tables are put together. if the pattern countinues how many people could sit together if 100 tables were put together?

Solution:

we are given that

6 people can sit together at 1 rectangular table.

2 tables are placed together, 10 people can sit together.

14 people can sit if three tables are put together.

It mean we get a sequence

6,10,14..........

So its making an arithmetic progression, where

First term

Common difference

Number of terms=number of table

As we know the nth term is given by the formula

Hence 402 people can sit.

$12. that is my answer.