Question

In the first week of the year, Nancy saved $1.Ineachofthenext$51$weeks,shesaved$1 more than she had saved in the previous week. What was the total amount that Nancy saved during the $52$ weeks?

• A. 1326$
• B. 1352$
• C. 1378$
• D. 2652$
• E. 2756$

Answer 1

The correct option is C 1378$

Let's first set up the pattern of Nancy's savings. The first week she saved $1,thesecondweekshesaved$2, the third week she saved $3,andsoforth.Therefore,thetotalamountofmoneyshewillhavesavedattheendof$52$weekswillbe:$1 + $2+$3 + $4+\dots +$52.

Sum Of First $n$ Natural Numbers = $\frac{n(n+1)}{2}$.

= $\frac{52(52+1)}{2}$

= 1378.

Hence, the total amount that Nancy saved during the $52$ weeks is $1378.