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**WAEC 2020 Tutorials on Mathematics**

1st Topic: **Progression**

I will start of by explaining in details what progression is, types of progression and our main deal.

**WHAT IS PROGRESSION?**

It is a sequence derived by adding or multiplying each term by a constant.

**TYPES OF PROGRESSION**

1. Linear sequence or arithmetic progression

2. Exponential sequence or geometric progression.

Now I will start of by explaining what those two means.

* Arithmetic Progression* is the addition or substraction of a constant number in a proceeding term to get another term. The constant is known as the common difference (d)

**Geometric Progression**

The nth term is ar^n-1 where a is the first term, r is the common ratio and n is the number of terms.

Let us get to our main deal

**Arithmetic progression**

They are groups of number that has a first term (a), Last term and a common difference between them

The first term of an Ap is represented by a… The common difference which is constant is represented by “d”

First term – T1

Second term – T2

Third term-T3

Last term – TN

So to get the common difference…

Just subtract any of the term.. Either T2 – T1 or T3-T2 or T4-T3

**So that’s how to get the common difference**

The first term is the first number of the progression.

**Example**

1. Find the common difference of the Ap, 2, 6,10,14,16,20?

Yes you are correct…

That’s T2-T1 =T3-T2….

6-2= 10-6

4**=**4 ☑️

So the common difference is 4.

2. Find the 20th term of the Ap 2,6,10,14,18?

* One thing about calculation is that you have to state all your values first…*.

The first number there is 2,it means 2 is the First term(a)..

The common difference can be gotten by T2-T1 = T3-T2

6-2= 10-6

4=4

So common difference(d) = 4

* So to get the 20th term*…

TN = a + (n-1)d

**That’s the formula**..

TN=/number of terms to be found…

a= first term

d=common difference

TN = 2 + (20-1) 4

Tn = 2 + 19×4

Tn = 2 +76

Tn =78…

**So 78 is the 20th term**

3. An Ap first term is 4 and the common difference is 5,find the 25th term?

Solve

a+(n-1)d

4+(25-1)5

4+(24)*5

124.

5. The 16th term of an Ap is 75 while the first term is 5,find the common difference

Okay, let me try it too.. And note…

**Ap can be negative.. Positive and also mixed fractions too..**

It can come in any shape.. Even decimals numbers..

T16 = a + (n-1)d

75 = a + (16-1)d

75 = 5+ 15d

75 – 5 =15d

70=15d

d=70/15

d= 14/3 ☑️

Also read: **7 Ways To Get A’s In WAEC Easily**

**How To Answer WAEC Questions 2020 And Pass****JAMB Free Tutorial : WORD PROBLEM SECRETS REVEALED PART 1**

2nd Topic: **Logarithm**

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