Find the middle term of AP 6,13,20.....216
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Hi,
Here is your answer,
Given data is,
a(First term) = 6 , d(common difference) = 13 - 6 = 7
Formula:- an = a + (n-1)d
→ 216 = 6 + (n - 1) × 7
→ 210 = (n-1)7
→ n = 31
So, now the number of term is 31
Now, the middle term will be (31 + 1) ÷ 2
= 16th term
Now, the 16th term will be T₁₆ = a + ( 16 -1 ) 7
= 6 + ( 15 × 7)
= 6 + (105)
= 111
Required solution is 111.
Hope it helps you !
Here is your answer,
Given data is,
a(First term) = 6 , d(common difference) = 13 - 6 = 7
Formula:- an = a + (n-1)d
→ 216 = 6 + (n - 1) × 7
→ 210 = (n-1)7
→ n = 31
So, now the number of term is 31
Now, the middle term will be (31 + 1) ÷ 2
= 16th term
Now, the 16th term will be T₁₆ = a + ( 16 -1 ) 7
= 6 + ( 15 × 7)
= 6 + (105)
= 111
Required solution is 111.
Hope it helps you !
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2
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