Question

write the AP whose 3rd term is 5 and 7th term is 9

Answer 1

a3=5
a7=9
a3=a+2d
or,5=a+2d - (i)
a7=a+6d
or,9 = a+7d -(ii)
subtract eq (i) and equal ( ii)

3=a+2d
7=a+6d
- - -
--------------
-4= - 4 d
or,D = 1

now , putting the value of days in eq (i)

5=a+2d
or , 5=a+2×1
or,5=a+2
or,5-2=a
or, a = 3

Ans) AP:3,4,5,6

plzz mark it as brainllest

Answer 2

a3= 5
a7= 9
a+2d = 5
a+ 6d= 9
= 4d= 4
d= 1
sub d in first equation
a + 2(1)=5
a+2=5
a= 3
therefore : 3,4,5,6,7,,,,