Question

FIND THE MIDDLE TERM OF AP 6,13,20....216​

Answer 1

216 - 20 = 196

Therefore, the middle term is 196.

Answer 2

Question :

Find the middle term of A.P. 6,13,20,....,216.

Given :

A.P. - 6,13,20,...,216

Step 1 :

• observe the first term : 6
• observe the second term : 13
• Apply formula and calculate the value of common difference.

D = t¹ - t²

→ D = 13 - 6

→ D = 7

Step 2 :

Suppose these are n terms in the given A.P.

Tⁿ = a + ( n - 1)d

→ 216 = 6 + (n - 1)7

→ 216 - 6 = 7n - 7

→ n = 31

Step 3 :

• Apply formula and calculate the middle term of the A.P.

$= > ( \frac{31 + 1}{2} )" term$

→ (32/2)th term

→ 16th term

Step 4 :

• Apply formula of

t^16 = 6 + (16 - 1)7

→ 6 + 15 × 7

→ 6 + 105

→ 111

Therefore, The middle term of A.P. is 111.

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Hope my answer helps you :)

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