Question

if you save 1 paise today,2 paise the next day,4 pause the succeeding day and so on then you total savings in two weeks will be?

Answer 1

If we save twice of previous day saving, then in two weeks (14 days) Total saving will be 1+2+4+8+16+32+64+128+256+512+ 1024+2048+4096=16383 paisa 163 RS 83 Paisa after two weeks.

Answer 2

Answer:

$Total \: savings= 16383 \: paise =Rs\:163.83$

Step-by-step explanation:

If we save 1 paise today,2 paise the next day,4 pause the succeeding day and so on then you total savings in two weeks the sequence should be Geometric progression .

1, ,2,4, 8, 16, .....,14 terms

First term (a) = 1,

$Common\: ratio (r) = \frac{a_{2}}{a_{1}}\\=\frac{2}{1}\\=2$

$Total \: savings = sum \: of \: 14 \: terms \\=\frac{a(r^{n}-1)}{r-1}\\=\frac{1(2^{14}-1)}{2-1}\\=2^{14}-1\\=16384-1\\=16383$

Therefore,

$Total \: savings= 16383 \: paise =Rs\:163.83$

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