Find the value of the middle most term (s) of the AP:-11,-7,-3.......49
Answers
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Thanks !!!
Answer of your question as follow :-
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♦ ♦ Step I ( Write the given) ♦ ♦
Given AP -11 ,-7,-3 ............49
Here's
a = -11 Last term = 49
Common Difference = (-7) -( -11) ==> 4 l = a + (n-1) d
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♦ ♦ Step II ( putting the value in the formula ) ♦ ♦
49 = -11 +(n-1) 4
49 + 11 = (n-1) ×4
60 = ( n-1 ) × 4 60/4 = n-1
15 = n -1
n = 15 +1
n = 16
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♦ ♦ Step III ( find the middle most term ) ♦ ♦
There are two middle term of AP 8th term and 9th term
The middle term of AP IS 8
= a + 7d
= (-11) + 7 (4)
= 17
The middle term of an AP is 9
a_9= a +8d
==> (-11) + 8 (4) ==> 21 _________________________________________________________________________________________________________________________________________________
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