Evaluate the expression: log100 Solution:- log 100 log = 2 log 10 we know log 10 = 1 log 100 = 2(1) = 2
Month: May 2015
Problem 694
You want to make an investment in a continuously compounding account over a period of ten years. What interest rate is required for your investment to double in that time…
Problem 693
Change the logarithmic statement log 4x = 2 into an equivalent exponential statement. Solution:- bx = a ↔ log ba = x 42 = x
Problem 692
Change the exponential statement 5-2 = into an equivalent logarithmic statement. Solution:- bx = a ↔ log ba = x log 5 = -2
Problem 691
The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair of adult rabbits produces one pair each month,…
Problem 690
Write the geometric sequence that has four geometric means between 1 and 16,807. Solution:- an = a1 * r^{n -1} Where an is the nth term, a1 is…
Problem 689
Find the sum of a geometric series with the following a1 = 7 , r = 3 , n = 9 Solution:- Find the an by using the…
Problem 688
Find the tenth term of the sequence: 1, -2, 4, -8, … Solution:- Find the common ratio and use the explicit formula for geometric sequences: an = a1 rn-1…
Problem 687
Find the sum of the first five terms of the arithmetic series: an =4n +7 Solution:- Find a1 and an by using the explicit formula for arithmetic sequence: an = a1…
Problem 686
Write the arithmetic sequence that has four arithmetic means between -20 and 20. Solution:- The rule of arithmetic sequence {a, a+d, a+2d, a+3d, … } a =…
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