4th and 8th term of an Ap is 24 and 6th and 10 th term of Ap is 34 find a and d of Ap
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Answer:
idk
Step-by-step explanation:
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Answered by
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Step-by-step explanation:
Given:
A4+a8=24.
=> a+3d+a+7d=24
=> 2a+10d=24
=> 2(a+5d)=24
a+5d=24/2=12-----(1)
A6+A10=34
=> a+5d+a+9d=34
=> 2a+14d=34
=> 2(a+7d)=34
a+7d=34/2=17.-----(2)
(2) - (1)
=> a+7d-(a+5d)=17-12
=>a+7d-a-5d=17-12
=> 2d= 5
=>. d=5/2.----(3)
(3) in (1)
=> a+5(5/2)=12
=> 2a+25=12×2=24.
=> 2a=24-25=-1
=> a=-1/2.
The first term of AP is -1/2 and common difference is 5/2.
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