Find the middle term of an ap . -11, -7, -3, _____, 49 when a= - 11,d=4
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Answer:
1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49.
Step-by-step explanation:
Given,
Series = -11, -7, -3, ........ 49.
First term a = -11
Difference d = 4
Find the number of terms.
tn = a + (n - 1) d
49 = -11 + (n - 1) 4
49 + 11 = (n - 1) * 4
60 = (n - 1) * 4
40 / 4 = n - 1
10 = n - 1
11 = n
-11 + 4 = -7
-7 + 4 = -3
-3 + 4 = 1
1 + 4 = 5
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
29 + 4 = 33
33 + 4 = 37
37 + 4 = 41
41 + 4 = 45
45 + 4 = 49
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