Question

1,6,13,22,33,? this is my question​

Answer 1

Answer:

$\large \boxed{\underline{46}}$

Step-by-step explanation:

Q) 1,6,13,22,33_

The term which will come after 33 is 46 .

Patern followed by the terms is-

Next term is the diffrence + 2 of the preceding number

=> 1 + 5 = 6

=> 6 + (5+2) = 6 + 7 = 13

=> 13 + (7+2) = 13 + 9 = 22

=> 22 + (9+2) = 22 + 11 = 33

=> 33 + (11+2) = 33 + 13 = 46

Therefore required answe is

$\boxed{\underline{\mathsf{46}}}$

Answer 2

Question :------- we have To find next number in series 1,6,13,22,33, ?

We can solve it by 2 methods ......

See My both Methods ..

Method (1)

6-1 = 5

13-6 = 7

22-13 = 9

33 -22 = 11

Now we can easily see that , 5, 7, 9, 11 are odd numbers in series ..

so, next odd number we will add = 11+2 = 13 .

Than our answer will be ==== 33 + 13 = 46

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Method (2)

1 = 2² - 3

6 = 3² - 3

13 = 4² -3

22 = 5² - 3

33 = 6² - 3

so, next number we will get when we square next number of series and subtract 3 .

so,

7² - 3 = 46 is our Answer .....

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(Hope it helps you)