Find the 22nd term of the arithmetic progression whose first term is 20 and common difference is 1/3.a.27 2/3b.28c.27d.27 1/3
Question
Find the 22nd term of the arithmetic progression whose first term is 20 and common difference is 1/3.a.27 2/3b.28c.27d.27 1/3
Solution
The formula for the nth term of an arithmetic progression is given by:
a_n = a + (n - 1) * d
where: a_n is the nth term a is the first term d is the common difference n is the term number
Given in the problem: a = 20 d = 1/3 n = 22
Substitute these values into the formula:
a_22 = 20 + (22 - 1) * 1/3 a_22 = 20 + 21 * 1/3 a_22 = 20 + 7 a_22 = 27
So, the 22nd term of the arithmetic progression is 27. The correct answer is c. 27.
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