Marta used chalk to create a sequence of six numbers on the sidewalk outside her apartment building. After the first two numbers, each number in the sequence equals the sum of the previous two numbers. Marta started with the number 112 and ended with the number 2021. What are the other four numbers in her sequence?

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ayoushivt ayoushivt · Answer 1 · 2022-06-25T09:56:29+02:00

The sequence is 112 , 337 , 449,786 , 1235 , 2021

An equation is a mathematical statement formed when two algebraic expressions re equated by an equal sign.

On the base of the given data

Let the first and second number is x and y

Then the third , fourth , fifth and sixth number is (x+y) , (x+2y) ,(2x+3y),(3x+5y)

The first term is 112

There are six numbers in the sequence

The last term is given by the equation

3x+5y = 2021

3* 112 +5y = 2021

5y = 1685

y = 337

Therefore the sequence is 112 , 337 , 449,786 , 1235 , 2021

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