NDA2022MathematicsFunctionsActual
Paragraph: Let f(x) be a function satisfying f(x+y)=f(x) f(y) for all x, y N such that f(1)=2 : Question: What is _ x=1 ^5 f(2 x-1) equal to ?
Options
- A341
- B682
- C1023
- D1364
Correct answer
B. 682
Step-by-step solution
aligned & _ x=1 ^5 f(2 x-1)=f(1)+f(3)+f(5)+f(7)+f(9) & =2+8+32+ 5 terms & = 2 (4^5-1 ) 4-1 = 2 1023 3 =682 aligned