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3 years ago

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

Step-by-step explanation:

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3 years ago

Read 2 more answers

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on

Step2247 [10]

Answer:

The force is 12 N

Step-by-step explanation:

* Lets explain how to solve the problem

- Direct variation is a relationship between two variables that can

be expressed by an equation in which one variable is equal to a

constant times the other

- If y ∝ x , then y = kx , where k is the constant of variation

* Lets solve the problem

- The force acting on the object varies directly with the object's

acceleration

∵ The force is F in newtons and a is the acceleration is m/s²

∴ F ∝ a

∴ F = ka

- To find k substitute F and a by the initial values of them

∵ A force of 10 N acts on a certain object, the acceleration of the

object is 5 m/s²

∵ F = 10 N when a = 5 m/s²

∵ F = ka

∴ 10 = k(5)

- Divide both sides by 5

∴ K = 2

- Substitute the value of k in the equation

∴ F = 2a

- Lets find the force when the acceleration is 6 m/s²

∵ a = 6 m/s²

∴ F = 2(6) = 12

* The force is 12 N

5 0

3 years ago

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507​

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507