8 9(k + 1) + 9(k + 1) âˆ 8k âˆ 8 âˆ 9 = - Maths - Principle of Mathematical Induction

Question

8 9( k + 1) +
9( k + 1)
âˆ’ 8k âˆ’ 8 âˆ’
9
= {9( k + 1)
âˆ’ 8k âˆ’ 9} + 8 (9(
k + 1) âˆ’ 1)
= 8m + 8 (9( k +
1) âˆ’ 1)
= 8{m + (9( k +
1) âˆ’ 1)}plz explain the steps with
reasons

Lalit Mehra · Accepted Answer

Hi!
Here is the answer to your query
<img width="527" height="134" src=
"https://s3mn%20mnimgs%20com/img/shared/userimages/mn_images/image/a1(1078)%20png"
alt="">
Cheers!

8. 9( k + 1) + 9( k + 1) − 8k − 8 − 9 = {9( k + 1) − 8k − 9} + 8 (9( k + 1) − 1) = 8m + 8 (9( k + 1) − 1) = 8{m + (9( k + 1) − 1)}plz explain the steps with reasons

8. 9⁽ ^k ^{+ 1)} + 9⁽ ^k ^{+ 1)} − 8k − 8 − 9

= {9⁽ ^k ^{+ 1)} − 8k − 9} + 8 (9⁽ ^k ^{+ 1)}− 1)

= 8m + 8 (9⁽ ^k ^{+ 1)}− 1)

= 8{m + (9⁽ ^k ^{+ 1)}− 1)}plz explain the steps with reasons