Using mathematical induction prove that: 1+5+9+..+(4n-3)=n(2n-1), also verify the position for n=3. I know how to get the mathematical induction , how do I verify for n=3?

Question

2585 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-18T19:48:04

Refer to the Explanation.

Having proved, by Mathematical Induction, the Result :

# P(n) : 1+5+9+...+(4n-3)=n(2n-1).#

To verify #P(n)# for #n=3,# on the L.H.S., we need consider only

first #3# terms.

#:." The L.H.S. of "P(n)" (for "n=3) = 1+5+9=15...(1).#

#"The R.H.S. of "P(n)" (for "n=3) = 3(2*3-1)=3*5=15...(2).#

#:.# The L.H.S.=The R.H.S.

Hence, the Verification.

Enjoy Maths.!