The sum of 4^th & 8^th term of an Ap is 24 and sum of 6^th and 10^th term is 44 find Ap
Answers
Answered by
2
Answer:
AP=-13,-8,-3,...
Step-by-step explanation:
a4+a8=24. ____(1)
a6+a10=44_____(2)
In (1),
a+3d+a+7d=24
2a+10d=24____(3)
In (2),
a+5d+a+9d=44
2a+14d=44____(4)
In (3) and (4),
2a+10d=24
2a+14d=44
(-). (-). (-)
_________
-4d=-20
d=-20
___
-4
d=5
Substitute the value of d in (3)
2a+10(5)=24
2a+50=24
2a=24-50
2a=-26
a=-26
___
2
a=-13
a=-13
a2=-13+5=-8
a3=-13+2(5)=-13+10=-3
Therefore Ap are-(-13,-8,-3,...)
Similar questions