Ram Prasad saved Rs 10 in the first week of a year and then increased his weekly saving by Rs 2.75. If in the nth week, his savings become Rs 59.50, find n.
Given:
Ram Prasad saved Rs 10 in the first week of a year and then increased his weekly saving by Rs 2.75
In the nth week his saving becomes Rs59.50.
To do: Find n.
Solution:
His weekly saving will be an A.P
a = 10, d = 2.75 , an = 59.50
$a_n = a+(n-1)d$
$10+(n-1)2.75 = 59.50$
$10+2.75n -2.75 = 59.50$
$2.75n= 59.50+2.75-10$
$2.75n= 49.50+2.75$
$2.75n = 52.25$
$n = \frac{52.25}{2.75}$
$n = 19$
Therefore the value of n is 19
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