Math, asked by candycandy66, 9 months ago

solve this pls solve this​

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Answered by DrNykterstein
2

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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