Question

A sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

Answer 1

Answer:

we know,

f(n-1)=f(n)-8

now,

f(6)=f(5)-8

or,f(6)=f(4)-2×8

or,f(6)=f(3)-3×8

or,f(6)=f(2)-4×8

or,f(6)=f(1)-5×8

or,f(6)=100-40

so,f(6)=60