Find the equation of the straight line that is parallel to 2y-x = 7 and bisects the line joining the points (3,1) and (1,-5).
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Step-by-step explanation:
Explicit expression is given by A(n)=a+(n-1)d
A(n)=a+(n-1)d.
A(n)=1+(n-1)3
A(n)=1+3n-3
A(n)=3n-2.
B. Find the recursive expression for this sequence
Ans.
The recursive expression is given by A(n)=A(n-1)+d
A(n)=A(n-1)+d
A(n)=A(n-1)+3
Where, A(n-1)=3(n-1)-2
A(n-1)=3n-3-2
A(n-1)=3n-5
C. What is the 15th term?
Ans.
By using explicit expression for this sequence
A(n)=3n-2.
A(15)=3(15)-2
A(15)=45-2=43
Thus, 15th term is 43
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