Choose the correct alternative answer for each of the following s… - Vidyadip

MCQ

Choose the correct alternative answer for each of the following sub questions.
For an given $A.P.\ a = 3.5$, $d = 0$, $n = 101$, then $t_n = .....$

A
$0$
✓
$3.5$
C
$103.5$
D
$104.5$

✓

Answer

Correct option: B.

$3.5$

Given: $a=3.5, d=0, n=101$
Now, By using $n ^{\text {th }}$ term of an $A.P.$ formula
$t_n=a+(n-1) d$
where $n=n o$. of terms
$a=$ first term
$d =$ common difference
$t _{ n }= n ^{\text {th }}$ terms
Substituting all given value in the formulae we get,
$\Rightarrow t_n=3.5+(101-1) \times 0$
$\Rightarrow t_n=3.5$
Thus, correct answer is $(B)$

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