Latest oracle Aptitude Question SOLUTION: What is the value of following series 1/(7^1) + 2/(7^2) + 1/(7^3) +2/(7^4) + 1/(7^5) +......

• Placement Papers
• /
• oracle

oracle Question Papers: ORACLE Company Profile

(#M40003364) ORACLE question Keep an EYE

What is the value of following series
1/(7^1) + 2/(7^2) + 1/(7^3) +2/(7^4) + 1/(7^5) +......

Asked In oracle deepak jaiswal (12 years ago)

Solved Mihir Read Solution (4)

Is this Puzzle helpful?   (8)   (2) Submit Your Solution

Read Solution (4) :

Mihir  (12 years ago)

1/(7^1) + 2/(7^2) + 1/(7^3) +2/(7^4) + 1/(7^5) +......
can be written as

1/7+1/7^2+1/7^2+1/7^3+1/7^4+1/7^4+1/7^5+......
=>(1/7+1/7^2+1/7^3+1/7^4+1/7^5+......)+(1/7^2+1/7^4+ 1/7^6+.......)
Two GP series one with a=1/7 and r=1/7
second with a=1/7^2 and r= 1/7^2

sum of GP to infinity ( when r is small) = a/1-r
so sum of expression = (1/7/1-1/7)+(1/7^2/1-1/7^2) =(1/6)+(1/48)= 3/16

Is this solution Helpfull? Yes (19) | No   

venkatakevanthreddy  (12 years ago)

this we can write as 1/7+1/7^2+1/7^2+1/7^3+1/7^4+1/7^4+1/7^5+...... =>(1/7+1/7^2+1/7^3+1/7^4+1/7^5+......)+(1/7^2+1/7^3+.......) by the concept of geometric progression (1/7/1-1/7)+(1/7^2/1-1/7^2) =>(1/6)+(1/48)= 9/48=3/16

Is this solution Helpfull? Yes (4) | No (1)  

Dr.Dipin Singh  (12 years ago)

Is it

1/7 + 2/72 + 1/73 +2/74 + 1/75 +

or

1/7 + 2/7^2 + 1/7^3 +2/7^4 + 1/7^5 +

Is this solution Helpfull? Yes (1) | No (2)  

Amalesh  (9 years ago)

3/16

9/(7^2){1+1/(7^2)+...}

Is this solution Helpfull? Yes | No (1)  

Please Login to Read Solution.