Find the A.P. whose 6th term = -10 and 10th term = -26
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a6 = -10 = a+(n-1)*d = a+5d .........(I)
a10 = -26 = a+(n-1)*d = a+9d .........(II)
solve in Eq. (I) and (II)
a+5d = -10 .........(I)
a+9d = -26 .........(II)
- - +
___________________
-4d = 16
d = -4
putting d= -4 in eq ...(I)
a+5*(-4) = -10
a-20 = -10
a = -10+20
a = 10
so, A. P. is
A. P.:- 10,6,2,-2,-6............
a10 = -26 = a+(n-1)*d = a+9d .........(II)
solve in Eq. (I) and (II)
a+5d = -10 .........(I)
a+9d = -26 .........(II)
- - +
___________________
-4d = 16
d = -4
putting d= -4 in eq ...(I)
a+5*(-4) = -10
a-20 = -10
a = -10+20
a = 10
so, A. P. is
A. P.:- 10,6,2,-2,-6............
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