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You put $2.00 in your piggy bank on June 1st, $2.50 on June 2nd, $3.00 on June 3rd and so on. How much did you have in your piggy bank at the end of June?

A. $16.50
B. $17.00
C. $294.50
D. $277.50

Respuesta :

Answer:277.50

Step-by-step explanation:you do this than u do that

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

On 1st June, amount in piggy bank = $2.00

On 2nd June, amount in piggy bank = $2.50

On 3rd June, amount in piggy bank = $3.00

So, it forms an arithmetic sequence:

Here, a = $2

d = 0.50

n = 30 days

So, Sum of 30 terms would be

[tex]S_{30}=\dfrac{30}{2}(2\times 2+(30-1)0.5)\\\\S_{30}=15(4+29\times 0.50)\\\\S_{30}=15(4+14.5)\\\\S_{30}=15(18.5)\\\\S_{30}=\$277.50[/tex]

Hence, Option 'D' is correct.

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