I used backsolving technique but got stuck at a point. Can you show the steps?
In the first week of the Year, Nancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?
A. $1,326
B. $1,352
C. $1,378
D. $2,652
E. $2,756
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Is the answer C?
It should be (53*52) / 2 = 1378 .
Sol :
Week 1 – > 1
Week 2 – > 2
Week 3 -> 3
Week 4 ->4
and so on ….. till
Week 52 – > 52 .
Add all of these , 1 + 2+ 3 + 4 + 5 + ……. + 52 = ( 52 * 53 )/ 2 , using [(n * (n+1))/2].