Determine the A.P. whose 3^ rd term is 5 and the 7^ th term is 9 … - Vidyadip

MCQ

Determine the A.P. whose $3^{\text {rd }}$ term is 5 and the $7^{\text {th }}$ term is 9 .

A
$1,3,5,7,9, \ldots$
✓
$3,4,5,6,7, \ldots$
C
$-1,2,5,8, \ldots$
D
None of these

✓

Answer

Correct option: B.

$3,4,5,6,7, \ldots$

(b) : We have,
$
\begin{aligned}
a_3 & =a+(3-1) d=a+2 d=5\ldots(i) \\
\text { and } a_7 & =a+(7-1) d=a+6 d=9\ldots(ii)
\end{aligned}
$
Solving the pair of linear equations (1) and (2), we get $a=3, d=1$
Hence, the required A.P. is $3,4,5,6,7, \ldots \ldots$

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