the sum of 4th and 8th terms of an AP is 24 and the sum of 6th and10th terms is 44.find the first three terms of an AP
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation
let the first term of the AP be a and the common difference be d.
sum of 4th and 8th term=24
4th can be written as a+[4-1]d= a+3d
similarly, 8th term can be written as a+7d
add the eq for both terms:
a+3d+a+7d=24
2a+10d=24
dividing b0th sides by 2
a+5d=12.....{Eq1}
we were also given that :-
sum of 6th and 10th term is 44
[so just like the way done above ]
6th term=a+5d
10term=a+9d
adding equations of both terms
a+5d+a+9d=44
a+7d=22.....{Eq2}
subtract EQ1 AND eq2
a+5d=12 minus a+7d=22
a-a+5d-7d=12-22
-2d=-10
d=5
now putting value of d in any of the equations for the terms given , you will get a=-13
so the AP is
-13,-8,-3
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