How to find third term of quadratic equation

Asked by maham237 @ 16/02/2021 in Mathematics viewed by 450 People

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

Answered by maham237 @ 16/02/2021

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

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