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Question
The number of terms in the AP 5, 9, 13, 17, ..., 185 is ______.
Options
31
41
51
46
MCQ
Fill in the Blanks
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Solution
The number of terms in the AP 5, 9, 13, 17, ..., 185 is 46.
Explanation:
a = 5, common difference d = 4.
nth term = a + (n – 1)d
= 5 + 4(n – 1)
Set equal to 185:
5 + 4(n – 1) = 185
⇒ 4(n – 1) = 180
⇒ n – 1 = 45
⇒ n = 46
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