Question

Can U Help MeSolve This?

Answer 1

Answer:

A) 65

B) 5

C) 242

D) 531

E) 36

Step-by-step explanation:

A) Let the unknown term be x.

Difference between 5 & 9 = 4

Difference between 9 & 17 = 8 = 4×2

Difference between 17 & 33 = 16 = 8×2

It is observed that the difference between two terms is getting doubled. So,

Difference between 33 & x = 16×2 = 32

∴ x = 33 + 32 = 65

B) Let the unknown term be x.

Difference between 20 & 12 = 8

Difference between 12 & 8 = 8/2 = 4

Difference between 8 & 6 = 4/2 = 2

It is observed that the difference between two terms is getting halved.

Difference between 6 & x = 2/2 = 1

∴ x = 6 - 1 = 5

C) Let the unknown term be x.

Difference between 2 & 8 = 6

Difference between 8 & 26 = 18 = 6×3

Difference between 26 & 80 = 54 = 18×3

It is observed that the difference between two terms is getting tripled.

Difference between 80 & x = 54×3 = 162

∴ x = 80 + 162 = 242

D) Let the unknown term be x.

Difference between 36 & 69 = 33

Difference between 69 & 135 = 66 = 33×2

Difference between 135 & 267 = 132 = 66×2

It is observed that the difference between two terms is getting doubled.

Difference between 267 & x = 132×2 = 264

∴ x = 267 + 264 = 531

E) Let the unknown term be x.

4 = 2²

9 = 3²

16 = 4²

25 = 5²

It is observed that all the terms in the sequence are squares of consecutive natural numbers.

So, x = 6² = 36