Find the respective terms for the following $A P s$
$a_{1} = 2; a_{3} = 26$ find $a_{2}$

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Solution

$T_{n} = a_{n} = a + (n - 1) d$

$a_{1} = a = 2$

$T_{3} = a_{3} = a + (3 - 1) d$

$26 = 2 + 2 d$

$24 = 2 d$

$∴ d = 12$

$T_{2} = a_{2} = 2 + (2 - 1) 12$

$= 2 + 12$

$= 14$

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Find the respective terms for the following APsa1=2;a3=26 find a2

Tn=an=a+(n−1)da1=a=2T3=a3=a+(3−1)d26=2+2d24=2d∴d=12T2=a2=2+(2−1)12=2+12=14

Find the respective terms for the following $A P s$
$a_{1} = 2; a_{3} = 26$ find $a_{2}$

$T_{n} = a_{n} = a + (n - 1) d$

$a_{1} = a = 2$

$T_{3} = a_{3} = a + (3 - 1) d$

$26 = 2 + 2 d$

$24 = 2 d$

$∴ d = 12$

$T_{2} = a_{2} = 2 + (2 - 1) 12$

$= 2 + 12$

$= 14$