Question

5. 5, 13, ?, 109, 325, 973
(a) 39
(b) 36
(c) 37
(d) 35​

Answer 1

Given Pattern :-

$\red{➤}\:$$\sf 5, 13, ?, 109, 325, 973$

To Find:-

$\orange{☛}\:$$\sf Missing\:Number\:of \:the\: pattern\: in \:3rd$

$\sf position$

Observation & Solution:-

By observing we find that the next term is determined by previous term such that previous term is multiplied by 3 and then 2 is subtracted from it to get next term

i.e.,

$\underline{\tt{For \:second\: term-}}$

$\begin{gathered}\\\quad\longrightarrow\quad 5×3 - 2 = 13 \\\end{gathered}$

$\underline{\tt{Similarily,\:for\: third\: term -}}$

$\begin{gathered}\\\quad\longrightarrow\quad 13× 3-2 = 37\\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \bf\red{37}\: is\: required\: answer\\\end{gathered}$

$\purple\therefore \boxed{\frak{Option\:(c) 37 \:is\: correct}}$

Note- You can check similar pattern for succeeding terms.

Answer 2

Answer:

Given :

A number is multiplied by 3 and subtracted by 2

To Find :

Upcoming number of 13

Solution :

For 13,

${5 \times 3} = 15$

$15 - 3 = 12$

For the next number x,

$13 \times 3 = 39$

$39 - 2 = 37$

The Needed Number x is $\huge\sf\fbox\pink{37}$