Should julie accept her brother offer her brother says instead of paying her the 40$ he owes her, he will give her 2$ today and double the amount she has each day for 6 days. should julie accept her brother's offer?

The answer is yes.

Step-by-step explanation:  Given that Julie's brother owe $40 to her. He says instead of paying her this amount, he will give her $2 taday and double the amount she has each day for 6 days. We are to check whether Julie should accept the offer or not.

Now,

On 1st day, amount paid by Julie's brother = $2,

On 2nd day, amount paid by Julie's brother = $4,

On 3rd day, amount paid by Julie's brother = $8,

On 4th day, amount paid by Julie's brother = $16,

On 5th day, amount paid by Julie's brother = $32,

On 6th day, amount paid by Julie's brother = $64,

On 7th day, amount paid by Julie's brother = $128.

Therefore, these amounts will form a geometric sequence, where the first term, 'a' is 2 and the common ration, 'r' is 2. Number of terms is 7.

So, the total sum paid by Julie's brother in seven days is given by

Hence, Julie should accept the offer.

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