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Math 11 Chapter 8
Mathematical Inductions and Binomial Theorem
Test - 3
1.
The term independent of y in the expansion of (y + 1 /
√
y
)
9
is _____
a) 5
b) 6
c) 7
d) 9
2.
The sum of the exponents of a and b for each term in the expansion of (x + y)
n
is _______
a) n
b) n+1
c) x
n
d) n x
n
3.
…………… devised the method of induction.
a) Francesco Mourolico
b) Archimedes
c) Amedeo Avogadro
d) Albert Einstein
4.
…………… is used to prove that the sum of first n positive integers equals n
2
.
a) Mathematical Induction
b) Magnatic Induction
c) Chamical change
d) Electrical Induction
5.
The properties of integer can be proved by ………………
a) Mathematical Induction
b) Equations
c) Sum and multiplication
d) None of these
6.
The case or exception which fails the mathematical formula or statement is called …………….
a) Counter example
b) Common example
c) Correct example
d) Equations
7.
The ………….. of a formula is established if it is true for each element of set under consideration.
a) Validity
b) Simplicity
c) Complexity
d) Clearity
8.
The method of mathematical induction is used to avoid ……………
a) infinite
b) finite
c) error
d) all are correct
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