Question

(4) In an A. P. if a = 2 and t = 12, find t5
= 12, find t2, t3, t4
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Answer 1

Answer:

$t_{2}$=9/2  ; $t_{3}$=7 ;   $t_{4}$=9.5

Step-by-step explanation:

given: a=2;  $t_{5}$=12

$t_{5}$= a+4d

⇒a+4d=12

⇒2+4d=12

⇒4d=12−2

⇒4d=10

⇒d=  10 /4  

 ∴d=  5/2=2.5

$t_{2}$=a+d

$t_{2}$= 2+2 .5

$t_{2}$= 4.5

$t_{2}$=9/2    

$t_{3}$ =a+2d

$t_{3}$ =2+2x2 .5

$t_{3}$ =2+5

$t_{3}$=7

$t_{4}$=a+3d

$t_{4}$=2+3×2 .5

$t_{4}$=2+7.5

$t_{4}$=9.5