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==> 1+r=5==>r=4
3+3r+3r²+3r^3+...+3r^6=3(1+r+r²+...+r^6)=3*(r^7-1)/(r-1)=4^7-1=16383
==> 1+r=5==>r=4
3+3r+3r²+3r^3+...+3r^6=3(1+r+r²+...+r^6)=3*(r^7-1)/(r-1)=4^7-1=16383
Answer:
The expression represents the number
rewritten in a+bi form.
Step-by-step explanation:
The value of is
in term of
Substituting the value,
Product of two negative numbers is always positive.
Now in term of
Substituting the value,
Product of one negative and one positive numbers is always negative.
Now can be written as follows,
Applying radical multiplication rule,
Now, and
Now substituting the above values in given expression,
Simplifying,
Collecting similar terms,
Combining similar terms,
The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.