1.1 Consider the following pattern:
87; 84; 81 ...
1.1.1 Find an expression for the nth term of the
sequence
(3)

The nth term of the arithmetic sequence is;

90 - 3n

Step-by-step explanation:

Here, we want to find an expression for the nth term of the sequence

Mathematically, let us determine the type of sequence

As we can see;

84 - 87 = 81-84 = -3

The difference between the terms is a constant; this means that the sequence is arithmetic

The nth term of an arithmetic sequence can be represented by;

Tn = a + (n-1)d

in this case, a is the first term of the sequence = 87

d is the common difference of the sequence = -3

The nth term is thus;

Tn = 87 + (n-1)-3

Tn = 87 - 3n + 3

Tn = 87 + 3 - 3n

Tn = 90 - 3n

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!