Use the recursive definition of summation together with mathematical induction to prove that for all positive integers n, if a1, a2, . . . , an and b1, b2, . . . , bn are real numbers, then




Mathematics

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Use linear interpolation to find the indicated value.Money in an investment compounded continuously will double in value in a number of years if invested at rates of interest given in the table:If the rate of interest is 18.2%, how many years will it take the investment to double?

A. 3.84 years B. 3.81 years C. 3.16 years D. 3.12 years

Mathematics

Find the exact value of the composition.tan (2 tan-1 (2))

A.
B. - 
C.
D. - 

Mathematics

Solve. Write the answer in simplest form.Find the perimeter of the triangle.

A. 5 km
B.  km
C.  km
D.  km

Mathematics

Solve the equation.x - 5 = 

A.
B. {-6, 1}
C. {-1, 6}
D.

Mathematics