The A.P. 6, 13, 20, …, 216 has 31 terms. The middle term of the A.P. is :
91
97
107
111
AP
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Question

The A.P. 6, 13, 20, …, 216 has 31 terms. The middle term of the A.P. is : 1. 91 2. 97 3. 107 4. 111

KnowledgeBoat · Accepted Answer

Given, A.P. 6, 13, 20, …, 216 n = 31 Middle term of A.P. = = = = 16th term. We know that, nth term of A.P. : ∴ Tn = a + (n - 1)d Now we have, a = 6 d = 13 - 6 = 7 n = 16 ⇒ T16 = 6 + (16 - 1)(7) = 6 + (15)7 = 6 + 105 = 111. Hence, option 4 is the correct option.

Mathematics

The A.P. 6, 13, 20, …, 216 has 31 terms. The middle term of the A.P. is :
91
97
107
111

AP

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Mathematics

The A.P. 6, 13, 20, …, 216 has 31 terms. The middle term of the A.P. is :9197107111

AP

Related Questions

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Which term of the A.P. 7, 13, 19, 25,….. is 241?40th36th44th45th

Which term of the A.P. 11, 8, 5, 2, ….. is −148 ?52nd54th55th57th

The A.P. 6, 13, 20, …, 216 has 31 terms. The middle term of the A.P. is :
91
97
107
111

The 24th term of the A.P. −1, 3, 7, 11, … is:
83
87
91
95

If 70, 75, 80, 85 are the first four terms of an arithmetic progression, then the 10th term is:
35
25
115
105

Which term of the A.P. 7, 13, 19, 25,….. is 241?
40th
36th
44th
45th

Which term of the A.P. 11, 8, 5, 2, ….. is −148 ?
52nd
54th
55th
57th