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Find the middle term of the …

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Find the middle term of the AP 6,13,20,.....,216
  • 1 answers

Aadya Singh 6 years, 4 months ago

a = 6 , d = 13-6=7, a^n= 216 , n= ? As we know that, a^ n= a+ (n-1)×d 216= 6+(n-1)×7 216-6= 7n-7 210+7 = 7n 217/7=n n=31 Thus,the AP contains 31 terms. Therefore,its middle term = 31+1/2= 32/2 =16th term. So, middle term of AP = a + 15 d = 6+15 ×7= 111.
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