Question

solve this linear equation ;- n-3 / 2 = 1/5 = n - 4n =1 / 3

Answer 1

Answer:

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Step-by-step explanation:

n/4+6

Answer 2

Step-by-step explanation:

n−2, 4n−1, 5n+2 are in A.P.

First term, a1 = n−2

Second term, a2 = 4n−1

Third term, a3 = 5n+2

Common difference (difference of two consecutive terms),

d=a2 −a1 = a3 −a2

4n − 1 − (n−2) = 5n + 2 − (4n − 1)

4n − 1− n + 2 = 5n + 2 − 4n + 1

3n + 1 = n + 3

2n = 2

n = 1

So, a1 = n − 2 = 1 − 2 = −1

a2 = 4n − 1 = 4 − 1 = 3

and d = a2 - a1 = 3 − ( −1) = 4

nth term of an AP is ,

an=a+(n−1)d

where,

a=first term

d= common difference

Therefore,

a4 = a + 3d = −1 + 12 = 11

a5 = a + 4d = −1 + 16 = 15