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Question - 5
A.P = 18, 14, 10, 6
Here, common difference, d = -4
Last term, l = -30
We know,
Nth term from the last = l - ( n - 1)d
Where, n = 8 { given in the question }
☛ 8th term from last = -30 - (8 - 1)-4
☛ -30 - 7 × -4
☛ -30 + 28
☛ -2
Hence, 8th term from last is -2
Question - 6
A.P = 10, 7 , 4, ... , (-62)
To Find = middle term of the A.P
Here, common difference, d = -3
Last term, l = -62
☛ l = a + ( n - 1)d
☛ -62 = 10 - 3n + 3
☛ -75 = - 3n
☛ 3n = 75
☛ n = 25
Since the number of elements is odd, So
Middle term = { (n/2) + 1 } th term
☛ a + ( n - 1) d
☛ 10 + ( 26/2 - 1 ) × -3
☛ 10 + ( 13 - 1) × -3
☛ 10 - 36
☛ - 26
Hence, Middle term of the A.P is -26
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