In the above solved example how is = 9(k + 1) (8 + 1) âˆ 8k âˆ 8 - Maths - Principle of Mathematical Induction

Question

In the above solved example how is =
9 ( k
+ 1) (8 + 1) âˆ’ 8 k âˆ’ 8 âˆ’ 9
= 8 9( k + 1) +
9( k + 1)
âˆ’ 8k âˆ’ 8 âˆ’
9

Aakash Sharma · Accepted Answer

9(k + 1)
(8 + 1) âˆ’ 8k âˆ’ 8 âˆ’ 9 =
(8 + 1) Ã—
9(k + 1) âˆ’ 8k âˆ’ 8 âˆ’ 9
= 8 Ã— 9(k
+ 1) + 1 Ã— 9(k
+ 1) âˆ’
8k âˆ’ 8
âˆ’ 9
= 8 9(k + 1) + 9(k +
1) âˆ’ 8k âˆ’ 8
âˆ’ 9

In the above solved example how is = 9 ( k + 1) (8 + 1) − 8 k − 8 − 9 = 8. 9( k + 1) + 9( k + 1) − 8k − 8 − 9

In the above solved example how is = 9 ⁽ ^k ^{+ 1)} (8 + 1) − 8 k − 8 − 9

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