Sit-ups

Vojta strengthens for 8 weeks. In the first week he did 5 sit-ups a day. Every next week he did 1 more per day than in the previous week. How many sit-ups has Vojta made?

Correct result:

n =  476

Solution:

$$\begin{gathered} t=7 \\ {n}_1=5\cdot t=5\cdot 7=35 \\ {n}_2=6\cdot t=6\cdot 7=42 \\ {n}_3=7\cdot t=7\cdot 7=49 \\ {n}_4=8\cdot t=8\cdot 7=56 \\ {n}_5=9\cdot t=9\cdot 7=63 \\ {n}_6=10\cdot t=10\cdot 7=70 \\ {n}_7=11\cdot t=11\cdot 7=77 \\ {n}_8=12\cdot t=12\cdot 7=84 \\ n=n_1+n_2+n_3+n_4+n_5+n_6+n_7+n_8=35+42+49+56+63+70+77+84=476 \end{gathered}$$

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