Question

Given the two function notation statements, find the first four terms of the sequence. Assume each sequence is arithmetic
F (-2) = -16 and f (0) = -4

Answer 1

The first four terms of the arithmetic sequence shown is -4, 2, 8 and 14

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

The nth term of a sequence is given as:

a(n) = a + (n - 1)d

Where a is the first term, d is the common difference

Given that F(-2) = -16 and f (0) = -4

Hence: a(1) = -4

a(-2) = -4 + (-2)d

-16 = -4 + (-2)d

d = 6

a(2) = -4 + (2 - 1)6 = 2

a(3) = -4 + (3 - 1)6 = 8

a(4) = -4 + (4 - 1)6 = 14

The first four terms of the arithmetic sequence shown is -4, 2, 8 and 14

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