3 years ago

If a+1,2a+1,4a-1 are in A.P, then the value of a is

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Answer:

a = 2

Step-by-step explanation:

In an AP the difference between consecutive terms is common (equal), thus

t₂ - t₁ = t₃ - t₂ , that is

2a + 1 - (a + 1) = 4a - 1 - (2a + 1) ← distribute and simplify both sides

2a + 1 - a - 1 = 4a - 1 - 2a - 1

a = 2a - 2 ( subtract 2a from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

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