Question

Evaluate 0.985 using the Binomial Theorem. Write 0.98 as a binomial: (1 -0.02 ) Enter the value for each variable. a

Answer 1

Using binomial theorem. The value of 0.98^5 is 0.9039207968.

|Using the binomial theorem, we get

0.985 Co(1)5 +5 Ci(1)'(-0.02)1 +5 Ca(1"(-0.02) +5 Ca(1)P(-0.02)3 +5

C(1)(-0.02)+5 Cs(1)°(-0.02)

0.98=(1) + 5(-0.02)'+ 10(-0.02)? + 10(-0.02)3 +5(-0.02) + 1(-0.02)5

0.98 (1)+(-0.1) + (0.004)+ (-0.00008) +0.0000008+ (-0.0000000032)

0.98-0.9039207968.

The binomial theorem, the statement that for any positive integer n, the sum of two numbers a and b raised to the power n can be expressed as the sum of n + 1 terms of the form Yoki's triangle. Key Person: al-Karajī Bernhard Bolzano Related Topics: Triangular binomial coefficients of Algebra Pascal.

Learn more about the binomial theorem here: brainly.com/question/13602562

#SPJ4