Question

B(1)=−5 b(n)=b(n−1)+9 ​ find b(4)

Answer 1

b(4) = 22

Explanation:

b(n) = b(n-1) +9

if n= 1

b(1) = b( 1- 1) +9 = -5

b(0) +9 = -5

b(0) = - 14

b(4) = b( 4- 1) +9

b(4) = b( 3) + 9

b(4) = b(3-1) +9+9

b(4) = b(2) +9+9

b(4) = b(2-1) + 9+ 9 +9

b(4) = b( 1) + 9 + 9 +9

b(4) = b( 1-1 ) + 9+9+9+9

b(4) = b(0) + 9+9+9+9

b(4) = -14 + 4×9

b(4) = -14 + 36

b(4) = 22