Pls solve this for me ryt now wai abeg ...The first three terms of an arithmetic progression (A. P) are (x+1),(4x-2) and(6x-3) respectively .If the last term is 18,find the
a. Value of x b. Sum of the terms of the progression

Step-by-step explanation:

Given

Solving (a): x

To do this, we make use of common difference (d)

So, we have:

Substitute known values

Remove brackets

Collect like terms

Collect like terms

Solving (b): Sum of progression

First, we calculate the first term

Next, calculate d

Next, we calculate n using:

Where:

So:

Subtract 3 from both sides

Divide both sides by 3

Add 1 to both sides

The sum of the progression is:

So,, we have:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

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