Fifth member

Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7.

Correct answer:

a₅ =  47

Step-by-step explanation:

$$\begin{gathered} a_2+a_5=73 \\ d=7 \\ {a}_1+d+a_1+4d=73 \\ {a}_1=(73-5\cdot d)\mathrm{/}2=(73-5\cdot 7)\mathrm{/}2=19 \\ {a}_5=a_1+4\cdot d=19+4\cdot 7=47 \end{gathered}$$

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