Question

The first three terms of a sequence are given round to the nearest thousand if necessary 204,200,196 find the 31 st term

Answer 1

The 31st term is 84

Explanation:

Here, we want to calculate the 31st term of the sequence

Firstly, we need to determine the type of sequence herein

As we can see;

200-204 = 196-200 = -4

The relationship between the numbers is a sum, that means the sequence is arithmetic

and; -4 represents the common difference

Mathematically, the nth term of an arithmetic sequence can be calculated using the equation;

Tn = a+ (n-1)d

with respect to the question;

a is the first term = 204

n = 31 and d = -4

Substituting these numbers;

T31= 204 + (31-1)-4

T31 = 204 - 4(30)

T31 = 204 - 120

T31 = 84