$\"\"$

\

The pay of the person is $\"\"$ penny for first day, $\"\"$ pennies for second day and $\"\"$ pennies for third day and so on.

\

Hence the sequence of the pay is $\"\"$ .

\

Find whether the sequence is arithmetic or not.

\

Find the common difference of first two terms.

\

$\"\"$

\

Find the common difference of second and third terms.

\

$\"\"$

\

Since $\"\"$ , the sequence is a not arithmetic sequence.

\

Find the common ratio of first two terms.

\

$\"\"$

\

$\"\"$ .

\

Find the common difference of second and third terms.

\

$\"\"$

\

$\"\"$ .

\

Since $\"\"$ , the sequence is a geometric sequence.

\

$\"\"$

\

There are $\"\"$ working days.

\

Find the total amount paid for $\"\"$ working days.

\

Find the sum of $\"\"$ terms in the sequence.

\

Formula for sum of $\"\"$ terms in the geometric sequence is $\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

Hence for $\"\"$ working days, the amount paid to the person is $\"\"$ pennies.

\

Conversion formula: $\"\"$ .

\

The amount paid to the person is $\"\"$ .

\

$\"\"$

\

Find the amount paid on $\"\"$ ^nd working day.

\

Formula for $\"\"$ term in the geometric sequence is $\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

Hence on $\"\"$ ^nd working day, the amount paid to the person is $\"\"$ pennies.

\

Conversion formula: $\"\"$ .

\

The amount paid to the person on $\"\"$ ^nd working day is $\"\"$ .

\

The risk of the running this offer is that if the person misses a day of work then they will be huge loss in the pay of the person.

\

No, the person would not like to take this offer.

\

$\"\"$

\

The amount paid to the person for $\"\"$ working days is $\"\"$ .

\

The amount paid to the person on $\"\"$ ^nd working day is $\"\"$ .

\

The risk of the running this offer is that if the person misses a day of work then they will be huge loss in the pay of the person.

\

No, the person would not like to take this offer.