Question

find the middle term of the AP 11, 8, 5, 2, - 1,..-61
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Answer 1

Answer:

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Answer 2

Answer:

-37

Step-by-step explanation:

first find total number of terms of the AP

Tn = a+(n-1) d

=> -61 = 11+(n-1)-3

=> -61-11 = -3n+3

=> -72 = -3n+3

=> -72-3 = -3n

=> -75 = -3n

cancel the negative sign from both sides

=> 3n = 75

=> n = 75/3

=> n= 25

now middle term of this AP is

=> 25/2

=> 12.5

means 13 is the middle term of this AP

Now find the 13th term of this AP

Tn = a+(n+1) d

=> T13 = 11+(13-1)-3

=> = 11+12×-3

=> =11+-36

=> = -25