Question

The number of terms of an ap 5,9,13,...185 is
a) 31
b) 51
c) 41
d) 40

Answer 1

The final answer is 46.

Step-by-step explanation:

$\ Given \ value:\\\\\ series: \\\\5, 9, 13,.....185 \\\\\ find:\\\\n=?\\\\\ Solution: \\\\5, 9, 13,.....185 \\\\\ a= 5\\d= 9-3 =4\\n= ?\\t_n = 185 \\\\\ formula:\\\\t_n=a+(n-1)d\\\\185=5+(n-1)4\\\\\rightarrow 185=5+4n-4\\\\\rightarrow 185=1+4n\\\\\rightarrow 185-1=4n\\\\\rightarrow 4n=184\\\\\rightarrow n=\frac{184}{4}\\\\\rightarrow n= 46$

In the given question all option is incorrect, So the correct answer is '46'.

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