Question

SOLVE IT:
33, 15, 24,52, 117
_____,460​

Answer 1

Correct Qᴜᴇsᴛɪᴏɴ :-

13, 15, 24 , 52 , 117, ____ , 460 ?

Sᴏʟᴜᴛɪᴏɴ :-

we have to complete the series with suitable Pattern.

Lets Try to See The difference Between Numbers First .

➼ 15 - 13 = 2

➼ 24 - 15 = 9

➼ 52 - 24 = 28

➼ 117 - 52 = 65

➼ X - 117 = ?

➼ 460 - X = ?

Now, when we See Difference We can see Our Logic .

☛ Logic :- Add (Natural Number)³ + 1

So,

➼ 15 - 13 = 2 = 1³ + 1

➼ 24 - 15 = 9 = 2³ + 1

➼ 52 - 24 = 28 = 3³ + 1

➼ 117 - 52 = 65 = 4³ + 1

So, Next Will be 5³ + 1

➼ 117 + (5³+1) = 243 . (Ans.)

Lets Check Now, Next will be (6³ + 1) .

Hence,

➼ 243 + (6³ + 1)

➼ 243 + 217

➼ 460 (Satisfy).

Therefore , Our Correct Answer will be 243 which Satisfy the given series.

Answer 2

$\rule{200}3$

$\huge\tt{SOLUTION:}$

We can try finding the differences here,

⇝15 - 13 = 2

⇝ 24 - 15 = 9

⇝52 - 24 = 28

⇝117 - 52 = 6

⇝ x - 117 = ?

So, we can see our logic in each term

⟹15 - 13 = 1³ + 1 = 2

⟹24 - 15 = 2³ + 1 = 9

⟹52 - 24 = 3³ + 1 = 28

⟹117 - 52 = 4³ + 1 = 65

Next would be,

→117+(5³ + 1)

→117 + 125 + 1

→243

$\rule{200}3$