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Question
The value of the middle term of the A.P. –11, –7, –3, ...., 49, 53 is ______.
Fill in the Blanks
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Solution
The value of the middle term of the A.P. –11, –7, –3, ...., 49, 53 is 21.
Explanation:
Common difference d = –7 – (–11) = 4.
Number of terms n = `(53 - (-11))/4 + 1`
= `64/4 + 1`
= 16 + 1
= 17 ...(Odd)
Middle term is the `(n + 1)/2` = 9th term:
a9 = a1 + (9 – 1)d
= –11 + 8 × 4
= –11 + 32
= 21
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