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Four friends agree to save money for a graduation road trip they decided that each of them will put $.25 in the phone on the first day of Maine $.50 on the second day and $.75 on the third day and salon at the end of May there will be blank in

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Answer:

At the end of May, the friends will have $496 with them.

Step-by-step explanation:

This question is based on arithmetic sequence.

Here a1 = [tex]0.25\times4=1[/tex]

a2 =[tex]0.50\times4=2[/tex]

a3 =[tex]0.75\times4=3[/tex]

So, [tex]d=2-1=1[/tex]

(a1=1, a2=2, a3=3, a4=4........)

The sum of the arithmetic sequence:

[tex]S=n/2 (a1+an)[/tex]

[tex]an=a1+(n-1)d[/tex]

=> [tex]an=1+(31-1)1[/tex]

=> an=31

Now putting the value of an in the sum formula:

[tex]S=31/2(1+31)[/tex]

[tex]S=15.5\times32=496[/tex] dollars

So, at the end of May, they will have $496 with them.

Answer:

496

Step-by-step explanation:

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