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Igoryamba
2 years ago
14

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

Mathematics
1 answer:
Digiron [165]2 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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Here, Function: h(t)= -16t² + 70t + 40

So, put the value of t, (time at which you want to calculate the height)

h(1) = -16(1)² + 70(1) + 40
h(1) = -16 + 110
h(1) = 94

Now, h(2) = -16(2)² + 70(2) + 40
h(2) = -64 + 180
h(2) = 116

h(3) = -16(3)² + 70(3) + 40
h(3) = -144 + 250
h(3) = 106

In short, Your height depends on time, and at each time it would be different, can be expressed by the coordinates on a Graph: (1, 94) (2, 116) (3, 106)

Hope this helps!


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