A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 14

1.1.1. calculate the second difference of this quadratic pattern

1.1.2. hence or otherwise, calculate the first term of term

Question

Mathematics

Layne Mcmahon

8 June, 19:28

A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 14

1.1.1. calculate the second difference of this quadratic pattern

1.1.2. hence or otherwise, calculate the first term of term

+1

Answers (1)

Know the Answer?

Kathy Townsend · Answer 1

Given are several terms in a quadratic pattern:

a1 = ?

a2 = 1

a3 = - 16

a4 = ?

a5 = - 14

let:

x y

1?

2 1

3 - 16

4?

5 - 14

considering the 2nd term and 3rd term, we can determine a quadratic function:

y = - 17x + 35

therefore,

a1 = 18

a4 = - 33

A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 141.1.1. calculate the second difference of this quadratic pattern1.1.2. hence or otherwise, calculate the first term of term

A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 14

1.1.1. calculate the second difference of this quadratic pattern

1.1.2. hence or otherwise, calculate the first term of term