Question

If the numbers n-2, 4n - 1 and 5n +2 are in AP, then find the value of n.




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Answer 1

Answer:

GIVEN:-

a1=n-2

a2=4n-1

a3=5n+2

d1=a2-a1=4n-1-n+2=3n+1

d2=a3-a2=5n+2-4n+1=n+3

since d1=d2

3n+1=n+3

3n-n=3-1

2n=2

n=2

Step-by-step explanation: