Find the 20th term of the following sequence. 5, 8, 11, 14, 17,...
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Find the 20th term of the following sequence. 5, 8, 11, 14, 17,...
61
62
63
64
This is an arithmetic progression with first term a=5 and common difference d=3. The n-th term is a + (n-1)d. For n=20, term = 5 + 19*3 = 5 + 57 = 62.
The series follows an arithmetic progression with the first term a as 5 and the common difference d as 3. Using the formula for the nth term of an arithmetic progression, Tn = a + (n - 1)d, we must find the 20th term. Substituting the values gives T20 = 5 + (20 - 1)3, which simplifies to 5 + 57. The result is 62.