Samara has 500 dollars in her piggy bank. If she spends 5 dollars every month, the collective amount spent across 6 months is given by the sequence 5, 10, 15, 20, 25, 30. How much would the amount be in the 7th month?
5, 10, 15, 20, 25, 30, ?
A
35 dollars
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B
31 dollars
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C
40 dollars
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D
36 dollars
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Solution
The correct option is A 35 dollars The given sequence is 5, 10, 15, 20, 25, 30.
Let us find the difference between the terms.
Difference between the 1st and the 2nd terms = 10 - 5 = 5
Difference between the 2nd and the 3rd terms = 15 - 10 = 5
Hence, to find the next term, we have to add 5.
Therefore, the 7th term = 30 + 5 = 35
The amount spent for 7 months will be 35 dollars.