how-many-ways-can-the-word-MOGGOMBABA-be-arranged-hence-find-S-of-a-sequence-a-ar-ar-2-in-integral-1-2-2-

Question Number 33230 by Rio Mike last updated on 13/Apr/18

h o w m a n y w a y s c a n t h e w o r d

M O G G O M B A B A

b e a r r a n g e d h e n c e f i n d S_{\infty} o f a

s e q u e n c e a, a r, {a r}^{2} i n i n t e g r a l

1, \sqrt{2}, 2, \dots

Answered by Joel578 last updated on 14/Apr/18

(1) Word “ {M O G G O M B A B A}^{″}

can be arranged in = \frac{10!}{2! 2! 2! 2! 2!} = 362880 ways

(2) 1, \sqrt{2}, 2, 2 \sqrt{2}, 4, \dots

a = 1, r = \sqrt{2}

Since r > 1 hence S_{\infty} diverge

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