If the function g is such that g(x) = g(x 1) x + 2 and g(2) = 2

Question

If the function g is such that g(x) = g(x– 1) – x + 2 and g(2) = 2, what is the value of g(5)?

A. 1
B. 0
C. –1
D. –2
E. –4

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adewale223 · Answer

g(5) = g(4) - 5 + 2

= g(4) - 3.............i

g(2) = g(1)

g(3) = g(2) - 1

= 2 - 1

= 1

g(4) = g(3) - 2

g(4) = -1

Therefore g(5) = -1-3

= -4

Answer E

Adewale Fasipe, GMAT quant instructor from Lagos Nigeria.

itsyodaa · Answer

Ans is E , could have solved in 30 sec but did blunder in calculation first and took around 1.2 min to solve

ajaynandakumar7 · Answer

The answer is E
G(1)=g(2)=2 and sloving for g(5) is -4

ravi1522 · Answer

Hello ,
g(5)=g(4)-3 
when you substitute value 2 in equation then 
g(2)=g(1)
same you can find g(3) and g(4)
g(3)=1
g(4)=-1
g(5)=-4
 hope it helps

Ayeka · Answer

g(2)=2 
g(2)=g(2-1)-2+2
g(2)=g(1) 
g(3)=g(3-1)-3+2
g(3)=g(2)-1=2-1=1
g(4)=g(3)-4+2=1-2=-1 
g(5)=g(4)-5+2=1 g-1-3= -4

Answer: E

sushanth21 · Answer

g(x) = g(x-1) - x +2, g(2) = 2

g(3) = g(3-1) -3 + 2 = 1
g(4) = g(4-1) - 4 + 2 = -1
g(5) = g(5-1) -5 + 2 = -4

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