AP members

What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?

Correct answer:

x₂ =  10.4
x₃ =  12.8
x₄ =  15.2
x₅ =  17.6

Step-by-step explanation:

$$\begin{gathered} x_1=8 \\ {x}_6=20 \\ {x}_n=x_1+d\cdot (n-1) \\ {x}_6=x_1+5d \\ d={\displaystyle \frac{x_6-x_1}{5}}={\displaystyle \frac{20-8}{5}}={\displaystyle \frac{12}{5}}=2\frac{2}{5}=2.4 \\ {x}_2=x_1+d=8+2.4={\displaystyle \frac{52}{5}}=10\frac{2}{5}=10.4 \end{gathered}$$

$x_3=x_2+d=10.4+2.4={\displaystyle \frac{64}{5}}=12\frac{4}{5}=12.8$

$x_4=x_3+d=12.8+2.4={\displaystyle \frac{76}{5}}=15\frac{1}{5}=15.2$

$x_5=x_4+d=15.2+2.4={\displaystyle \frac{88}{5}}=17\frac{3}{5}=17.6$

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