for an AP whose 3rd term is 5 and 7th term is 9, the value of d is? Question for an AP whose 3rd term is 5 and 7th term is 9, the value of d is? in progress 0 Math Alaia 10 months 2021-08-15T09:09:09+00:00 2021-08-15T09:09:09+00:00 2 Answers 0 views 0
Answers ( )
Answer:
tn=a+(n-1)d
Hence,
t3=a+2d
i.e. a+2d=5….(1)
t7=a+6d
i.e a+6d=9
a+2d+4d=9
But from (1) a+2d=5
5+4d=9
4d=9-5
4d=4
d=4/4
d=1
Hence, Common different in 1.
Answer:
3rd term of the AP: a+2d = 5 …(1)
7th term: a+6d = 9 …(2)
Subtract (1) from (2)
4d = 4, or
d = 1 and so a = 3.
The AP is 3,4,5,6,….
Step-by-step explanation: