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On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she

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Carcass
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On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she [#permalink] New post   27 Jun 2022, 01:00
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On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she put 2 cents in. On Wednesday, she added 4 cents, and on Thursday, she added 8 cents. If Jennifer continues this saving pattern, how much will be in her piggy bank after ten days?

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$10.23


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Re: On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she [#permalink] New post   04 Jul 2022, 12:37
Carcass, can you please post solution for this question?
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Re: On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she [#permalink] New post   04 Jul 2022, 12:41
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It’s possible to calculate each day’s addition to savings and then add, but it may be faster to look for a pattern in the cumulative sum. On day 1, she deposits 1¢, for a total of 1¢. On day 2, she deposits 2¢ for a total of 3¢. On day 3, she deposits 4¢ for a total of 7¢. Each day’s total is 1¢ less than the next day’s deposit. Calculate the deposit for the 11th day and subtract one to find the ten-day total. On the 11th day, she would deposit 210 cents, or $10.24, so the ten-day total is $10.23.
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Re: On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she [#permalink] New post   17 Jul 2022, 10:44
The explanation is not clear for me. Can anyone elaborate it further? Thanks.
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Re: On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she [#permalink] New post   17 Jul 2022, 11:12
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1 day =1
2 day = 1+2=3
3 day = 3+4=7
4 day = 7 + 8=15
5 day = 15 + 16 =33
6 day = 33 + 32=65
........

In the end she will have the 11 day 210 or $10.24 minus - 1 because we want the 10 day

$10.23
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Re: On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she [#permalink] New post   17 Jul 2022, 11:37
Now, it seems understandable to me. Thanks.
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Re: On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she [#permalink] New post   18 Jul 2022, 02:03
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On Monday, Jennifer placed 1 cent in her piggy bank. On Tuesday, she put 2 cents in. On Wednesday, she added 4 cents, and on Thursday, she added 8 cents. If Jennifer continues this saving pattern, how much will be in her piggy bank after ten days?

ANSWER - $10.23

It’s possible to calculate each day’s addition to savings and then add, but it may be faster to look for a pattern in the cumulative sum. On day 1, she deposits 1 cents, for a total of 1 cents. On day 2, she deposits 2 cents for a total of 3 cents. On day 3, she deposits 4 cents for a total of 7 cents. Each day’s total is 1 cents less than the next day’s deposit. Calculate the deposit for the 11th day and subtract one to find the ten-day total. On the 11th day, she would deposit 210 cents, or $10.24, so the ten-day total is $10.23.
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