Find next number in following sequence
What will be the next number in below sequence?
0, 1, 5, 19, 65, 211, ?
Check your answer:-
explanation:
it follows this equation 3^n – 2^n where n is integer starting from 0
thus
3^0 – 2^0 = 1 – 1 = 0
3^1 – 2^1 = 3 – 2 = 1
3^2 – 2^2 = 9 – 4 = 5
3^3 – 2^3 = 27 – 8 = 19
3^4 – 2^4 = 65
3^5 – 2^5 = 211
3^6 – 2^6 = 729 – 64 = 665
There is one more way to solve this
3*previous number + 2^(n-1)
0x3+1=1;
1×3+2=5;
5×3+4=19;
19×3+8=65;
65×3+16=211;
211×3+32=665;
wondering how it is possible?
lets solve 3*previous number + 2^(n-1)
=> 3*(3^(n-1) – 2^(n-1)) + 2^(n-1)
=> 3^n – (2+1)*2^(n-1) + 2^(n-1)
=> 3^n – 2^n – 2^(n-1) + 2^(n-1)
=> 3^n – 2^n i.e. our first equation
How to buy six products from 20rs?
How to buy six products from 20Rs. without using Paisa & without repeating numbers ?
Click here to See Solution
Rs 6 , Rs5 , Rs4, Rs3, Rs 2, and one item should be free Rs0 (free with other 4 items)
0+2+3+4+5+6=20
Rearrange letters – Chatwwtsir
Find out the missing digit – 30 43 51 ?
Number Puzzle #175
find out the missing number
2 3 1 2
3 4 4 5
5 6 6 7
30 43 51 ?
Check your answer:-
Click here to See SolutionFor each column
-2*2+3*3+5*5=30,
-3*3+4*4+6*6=43,
-1*1+4*4+6*6=51,
-2*2+5*5+7*7=70
IF 5 7 3 20 10 30 then 95 45 ?
Missing number Puzzle X 21 147
Number Puzzle #173
2 6 18
4 20 100
X 21 147
find X
Check your answer:-
Solution
in first row next number is a multiplication of 3 and the previous number
second row, next number is a multiplication of 5 and the previous number
in third row 3rd number (147) is a multiplication of 7 and previous number, i.e. 21, thus X*7 = 21 => x = 21/7 = 3
ptawspha – rearrange the letters
Correct the spelling – rearrange letters to form a meaningful word.
ptawspha
Check your answer:-
WhatsApp Puzzle – Name these 70 countries
Guess these 70 country names from whatsapp emoticons
ALNNLEO – Rearrange the word/s
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