Question

8. What is X in the sequence
132, 129, 124, 117, 106, 93, X?
(A) 74
(B) 75
(C) 76
(D) 77​

Answer 1

Answer :

The value of x - 76.

Option => $\boxed{\sf C}}$

Step-by-step explanation:

Given :

Sequence  - 132, 129, 124, 117, 106, 93, X.

To Find :

The value of 'x'.

Solution :

First of all let us know this squence is based on what ?

So, Let's do it,

I think this is based on odd numbers. :D

Let us check,

⇒ 132 + 129 = 261.

⇒ 129 +  124 = 253.

⇒ 124  + 117 = 241

⇒ 117 + 106 = 223.

⇒ 106 +  93 = 199.

⇒ 93 + 17 = 114.

So, Did you find the correct number?

No, My friend actually there is no option of 114.

Let's do this with same method but, We will subtract instead of addition,

Let's do it,

⇒ 132 - 3=129

⇒ 129 - 5=124

⇒ 124 - 7 = 117

⇒ 117 - 11 = 106

⇒ 106 - 13 = 93

⇒ 93 - 17 = 76

Woah! We find the number that is 76 (Option => C).

But My dear let me explain,

In the first try we assume that The given series is of adding prime numbers. But our Assumption goes wrong.

So, then we tried second time and assume that The given series is of Subtraction of  prime numbers. But our Assumption goes correct.

Hence,

The series is of subtracting prime numbers!

Answer 2

Answer:

$\huge{\pink{\green{\sf{\therefore x=76}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

》In the given question information given about a Sequence of numbers.

》We have to find the Value of x.

》x is also in that Sequence.

$\underline \bold{Given : } \\ \bold{Sequence : } \\ \implies 132 , 129 , 124 , 117 , 106,93,x \\ \\ \underline \bold{ To \: Find : } \\ \implies value \: of \: x = ?$

》first we know that is Sequence.So, we find the difference between two numbers.

》According to given question :

$\implies 129 - 132 = - 3 \\ \implies 124 - 129 = - 5 \\ \implies 117 - 124 = - 7 \\ \implies 106 - 117 = - 11 \\ \implies 93 - 106 = - 13$

》After taking difference between two numbers it doesnt form any series of same common difference but their difference is in Prime numbers.

》It means that their difference between two numbers are the Sequence of Prime numbers.

》So we get those Prime numbers that

$\implies - 3, -5, - 7, - 13\: and \: next \: will \: be \: - 17 .\\ \underline \bold{Note :} \\ \implies the \: Sequence \: is \: given \: in \: large\:to\:small\:numbers\\So, neglect\:negative\:sign\:used\:in\:prime\:numbers. \\ \\ \bold{Next \: number : } \\ \implies x - 93 = - 17 \\ \implies x = - 17 + 93 \\ \bold{\implies x = 76}$