The value of 0 2 log (root 5) [1/4+1/8+1/16+ ] is (1) 4 (2) log - Maths - Sequences and Series

Question

The value of 0 2 log (root 5) [1/4+1/8+1/16+ ] is
(1) 4 (2) log 4 (3) log 2 (4) none

Vipin Verma · Accepted Answer

As (1/4 + 1/8 + ) is a infinite GP

So its sum is a/(1-r) = 1/4 (1-1/2) = 1/2

Hence the problem changes into :
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"https://img-nm%20mnimgs%20com/img/study_content/content_ck_images/images/Screenshot_1(2)%20png"
style="width: 311px; height: 48px;">

The value of 0.2 log (root 5) [1/4+1/8+1/16+......] is (1) 4 (2) log 4 (3) log 2 (4) none

The value of 0.2 ^{log (root 5) [1/4+1/8+1/16+......]} is

(1) 4 (2) log 4 (3) log 2 (4) none