Can someone me find the terms? it would mean so much,

ANSWER

A)

B)

C)

EXPLANATION

The terms of the sequence are,

6,15,24,33,42,...

The common difference is

The first term is

C)

The nth term of an arithmetic sequence is

A) To find the tenth term, we put n=10 into the formula,

B) To find the 75th term, we put n=75 into the formula,

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions