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# Solution - In the following APs find the missing term in the boxes - CBSE Class 10 - Mathematics

Conceptnth Term of an AP

#### Question

In the following APs find the missing term in the boxes

#### Solution

For this A.P.,

a2 = 13 and

a4 = 3

We know that, an = a + (n − 1) d

a2 = a + (2 − 1) d

13 = a + d (I)

a4 = a + (4 − 1) d

3 = a + 3d (II)

On subtracting (I) from (II), we obtain

−10 = 2d

d = −5

From equation (I), we obtain

13 = a + (−5)

a = 18

a3 = 18 + (3 − 1) (−5)

= 18 + 2 (−5) = 18 − 10 = 8

Therefore, the missing terms are 18 and 8 respectively.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Textbook for Class 10 (with solutions)
Chapter 5: Arithmetic Progressions
Q: 3.2 | Page no. 106

#### Reference Material

Solution for question: In the following APs find the missing term in the boxes concept: null - nth Term of an AP. For the course CBSE
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