Question

if 5th term of an ap is 17 and second term is 11 then 6th term is

Answer 1

Answer:

Step-by-step explanation:

a5 = a+ 4d =17 - - - - - - - (I)

a2 = a+ d = 11 - - - - - - - (ii)

Subtracting ii from I, we get,

3d =6

d= 2

Putting d=2, in ii

a+d =11

a+2 = 11

a= 9

Now, a6= a+5d

= 9 + 5*2

= 9+10. =19

Answer 2

a + 4d = 17 ..... ( 1 )

a + d = 11 ......( 2 )

Solve ( 1 )and ( 2 ),

Using elimination method,

a + 4d = 17

a + d = 11

- - -

+3d = 6

d = 6/3

d = 2

Add common difference ( d ) to 5th term

i.e 17 + d

17 + 2 =19

Therefore, 6th term is 19

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