Question

THIS IS GEOMETRIC PROGRESSION
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Answer 1

Step-by-step explanation:

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Here is your answer

I) 8 + 88 + 888 .......

= 8(1+ 11+ 111 .......) multiplying and dividing by 9

= 8/9 ( 9+99+999 .......)

$= \frac{8}{9} ((10 - 1) + (10 {}^{2} - 1) + (10 {}^{3} - 1)......)$

$= \frac{8}{9} (10 + 10 {}^{2} + 10 {}^{3} ....n \: terms - 1 \times n \: terms) \\ = \frac{8}{9} ( \frac{10(1 - 10 {}^{n} )}{1 - 10} ) - n$

= 8/9 ((10(1 - 10^n)+9n)/-9)