How many terms are there in the A.P. given below? 14,19,24,29,...… - Vidyadip

MCQ

How many terms are there in the $A.P.$ given below? $14,19,24,29,........ 119$

✓
$22$
B
$21$
C
$18$
D
$14$

✓

Answer

Correct option: A.

$22$

Given, $a _1=14, t _{ n }=119$
$d=a_2-a_1=19-14=5$
$t_n=a_1+(n-1) d$
$119=14+(n-1) 5$
$119-14=5 n-5$
$105+5=5 n$
$110=5 n$
$n=22$

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