Looking for a number
Level
pending
Given a sequence of numbers 1, 5, 6, 25, 26, 30, 31, .... .What is the 100-th number
The answer is 18775.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Let n is the order of the number in those sequence.
n = 1 = 1 2 , 1 × 5 0 = 1 n = 2 = 1 0 2 , 1 × 5 1 + 0 × 5 0 = 5 n = 3 = 1 1 2 , 1 × 5 1 + 1 × 5 0 = 6 n = 4 = 1 0 0 2 , 1 × 5 2 + 0 × 5 1 + 0 × 5 0 = 2 5 n = 5 = 1 0 1 2 , 1 × 5 2 + 0 × 5 1 + 1 × 5 0 = 2 6 s o , n = 1 0 0 = 1 1 0 0 1 0 0 2 , 1 × 5 6 + 1 × 5 5 + 0 × 5 4 + 0 × 5 3 + 1 × 5 2 + 0 × 5 1 + 0 × 5 0 = 1 8 7 7 5 % M a t h T y p e ! M T E F ! 2 ! 1 ! + − % f e a a g K a r t 1 e v 2 a a a t C v A U f e B S j u y Z L 2 y d 9 g z L b v y N v 2 C a e r b u L w B L n % h i o v 2 D G i 1 B T f M B a e X a t L x B I 9 g B a e r b d 9 w D Y L w z Y b I t L D h a r q q t u b s r % 4 r N C H b G e a G q i V u 0 J e 9 s q q r p e p C 0 x b b L 8 F 4 r q q r F f p e e a 0 x e 9 L q − J c 9 % v q a q p e p m 0 x b b a 9 p w e 9 Q 8 f s 0 − y q a q p e p a e 9 p g 0 F i r p e p e K k F r 0 x f r − x % f r − x b 9 a d b a q a a e G a c i G a a i a a b e q a a m a a b a a b a a G c e a q a b e a a c a W G U b % G a e y y p a 0 J a a G y m a i a b g 2 d a 9 i a a i g d a d a W g a a W c b a G a a G O m a a q a b a G c % c a G G S a G a a G z b V l a a i g d a c q G H x d a T c a a I 1 a W a a W b a a S q a b e a a c a a I W a % a a a O G a e y y p a 0 J a a G y m a a q a a i a a d 6 g a c q G H 9 a q p c a a I Y a G a e y y p a 0 J a % a G y m a i a a i c d a d a W g a a W c b a G a a G O m a a q a b a G c c a G G S a G a a G z b V l a a i g % d a c q G H x d a T c a a I 1 a W a a W b a a S q a b e a a c a a I X a a a a O G a e y 4 k a S I a a G i m % a i a b g E n a 0 k a a i w d a d a a h a a W c b e q a a i a a i c d a a a G c c q G H 9 a q p c a a I 1 a % a a b a G a a m O B a i a b g 2 d a 9 i a a i o d a c q G H 9 a q p c a a I X a G a a G y m a m a a B a a a % l e a a c a a I Y a a a b e a a k i a a c Y c a c a a M f 8 U a a G y m a i a b g E n a 0 k a a i w d a d a % a h a a W c b e q a a i a a i g d a a a G c c q G H R a W k c a a I X a G a e y 4 1 a q R a a G y n a m a a % C a a a l e q a b a G a a G i m a a a a k i a b g 2 d a 9 i a a i A d a a e a a c a W G U b G a e y y p a 0 % J a a G i n a i a b g 2 d a 9 i a a i g d a c a a I W a G a a G i m a m a a B a a a l e a a c a a I Y a a a % b e a a k i a a c Y c a c a a M f 8 U a a G y m a i a b g E n a 0 k a a i w d a d a a h a a W c b e q a a i % a a i k d a a a G c c q G H R a W k c a a I W a G a e y 4 1 a q R a a G y n a m a a C a a a l e q a b a G a % a G y m a a a a k i a b g U c a R i a a i c d a c q G H x d a T c a a I 1 a W a a W b a a S q a b e a a c a % a I W a a a a O G a e y y p a 0 J a a G O m a i a a i w d a a e a a c a W G U b G a e y y p a 0 J a a G y n % a i a b g 2 d a 9 i a a i g d a c a a I W a G a a G y m a m a a B a a a l e a a c a a I Y a a a b e a a k i % a a c Y c a c a a M f 8 U a a G y m a i a b g E n a 0 k a a i w d a d a a h a a W c b e q a a i a a i k d a % a a G c c q G H R a W k c a a I W a G a e y 4 1 a q R a a G y n a m a a C a a a l e q a b a G a a G y m a a % a a k i a b g U c a R i a a i g d a c q G H x d a T c a a I 1 a W a a W b a a S q a b e a a c a a I W a a a % a O G a e y y p a 0 J a a G O m a i a a i A d a a e a a a e a a c a W G Z b G a a m 4 B a i a a c Y c a c a % W G U b G a e y y p a 0 J a a G y m a i a a i c d a c a a I W a G a e y y p a 0 J a a G y m a i a a i g d a % c a a I W a G a a G i m a i a a i g d a c a a I W a G a a G i m a m a a B a a a l e a a c a a I Y a a a b e % a a k i a a c Y c a a e a a c a a I X a G a e y 4 1 a q R a a G y n a m a a C a a a l e q a b a G a a G O n % a a a a k i a b g U c a R i a a i g d a c q G H x d a T c a a I 1 a W a a W b a a S q a b e a a c a a I 1 a % a a a O G a e y 4 k a S I a a G i m a i a b g E n a 0 k a a i w d a d a a h a a W c b e q a a i a a i s d a % a a G c c q G H R a W k c a a I W a G a e y 4 1 a q R a a G y n a m a a C a a a l e q a b a G a a G 4 m a a % a a k i a b g U c a R i a a i g d a c q G H x d a T c a a I 1 a W a a W b a a S q a b e a a c a a I Y a a a % a O G a e y 4 k a S I a a G i m a i a b g E n a 0 k a a i w d a d a a h a a W c b e q a a i a a i g d a a a % G c c q G H R a W k c a a I W a G a e y 4 1 a q R a a G y n a m a a C a a a l e q a b a G a a G i m a a a a % k i a b g 2 d a 9 i a a i g d a c a a I 4 a G a a G 4 n a i a a i E d a c a a I 1 a a a a a a ! D A 0 D !