Sequences and Series questions (1 Viewer)

[kpad5991]

1. Find the sums of these AP's who's terms are logarithms

a) log (b) 36 + log (b) 18 + log (b) 9 + ...log (b) 9/8


b) log (x) 27/8 + log (x) 9/4 + log (x) 3/2 + ....(10 terms)

 

[fan96]

For a), note that the term inside the logarithm is halved each time.

So, rewrite it as



And use the law .

b) can be solved similarly.

 

[HeroWise]

Thats actually a good question (at least for me)

It took me long to realise the ratio and AP being together, fan96 gets the credit