The sum of all terms of the A.P -4,-1,2,5........,x is 437.Find x
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Step-by-step explanation:
Sum of nos of ap = n/2 (2a+(n-1)d)
437 =n/2(2*-4+(n-1)3)
437*2 = n(-8+3n-3)
437*2=-11n+3n²
3n²-11n-874 =0
By factorisation
n = 3540 or -10598/3
But we know that term cannot be negative therefore n =3540
Now ax=a +(n-1 )d
= a 3540 =-4 + (3540-1)3
a3540=-4 +10617
a3540=10613
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