Question

If in an ap ninth term is six times its second term and if its fifth term is 22 then find the ap

Answer 1

Answer:

ap is 2, 7, 12, 17, 22, 27, 32 ,37 , 42, 47, ...

Step-by-step explanation:

given: $a_{9} = 6(a_{2})$

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

$a+8d=6(a+d)$

$a+8d=6a+6d$

$2d=5a$

$a=\frac{2}{5} d$

$a_{5} =22\\a+4d=22$$\frac{2}{5} d+4d=22\\\\\frac{22}{5} d=22\\\\d=5\\a=2$

ap is 2, 7, 12, 17, 22, 27, 32 ,37 , 42, 47, .....