Question

A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. The fourth term in the sequence is -7. Determine the missing terms in the sequence.

Answer 1

The first four terms of the sequence that follows the rule is 2, -1, 5 and -7

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. Let a represent the third term, hence if the 4th term is -7:

-7 = -2a + 3

a = 5

Let b represent the second term, hence:

5 = -2b + 3

b = -1

Let c represent the first term, hence:

-1 = -2c + 3

c = 2

The first four terms of the sequence that follows the rule is 2, -1, 5 and -7

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