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# Solution - Find the middle term of the A.P. 213, 205, 197, ---, 37. - CBSE Class 10 - Mathematics

ConceptArithmetic Progression

#### Question

Find the middle term of the A.P. 213, 205, 197, ---, 37.

#### Solution

Here,

a = 213

d = 205213 = 8

Let the number of terms in the given AP be n.

We know

an=a+(n1)d

37=213+(n1)(8)

8(n1)=176

n1=22

n=23

Thus, there are 23 terms in the given AP.

So, the ((23+1)/2)th term, i.e. the 12th term, will be the middle term.

a12=213+(121)(8)

a12=21388

a12=125

Thus, 125 is the middle term of the given AP

Is there an error in this question or solution?

#### Reference Material

Solution for question: Find the middle term of the A.P. 213, 205, 197, ---, 37. concept: null - Arithmetic Progression. For the course CBSE
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