The sum of the 4th and 8th term of an A.P. is 24 and the sum of its 6th term and 10th term is 44. Find the first three terms of an A.P.
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SOLUTION ☺️
As given,
a4+ a8 = 24
=) (a+3d)+(a+7d)= 24
=) 2a+10d= 24
=) a+ 5d= 12..................(1)
&
a6 +a10= 44
=) (a+5d)+(a+9d)= 44
=) 2a+ 14d= 44
=) a+ 7d= 22...........(2)
On solving (1) &(2) for a and d we get
=) a= -13 and d= 5
Hence,
First three terms of the given A.P. are
=) -13, -8 and -3.
hope it helps ✔️
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