Sum of the seventeen numbers

The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.

Correct answer:

s =  34

Step-by-step explanation:

$$\begin{gathered} a_1=1 \\ d=1 \\ n=17 \\ {a}_{17}=a_1+d\cdot (n-1)=1+1\cdot (17-1)=17 \\ {s}_{17}={\displaystyle \frac{a_1+a_{17}}{2}}\cdot n={\displaystyle \frac{1+17}{2}}\cdot 17=153 \\ s=16+18=34 \\ \text{ Verifying Solution: } \\ S=1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+18=154 \end{gathered}$$

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