Step 1: General formula of a G.P.

The general term of a G.P. is:

$T_n=a{r}^{n-1}$Tn​=arn−1

Where:

• $a$a = first term

• $r$r = common ratio

• $T_n$Tn​ = nth term.

ep 2: Use given terms

• 2nd term: $ar=6$ar=6 → (1)

• 5th term: $a{r}^4=48$ar4=48 → (2)

Divide (2) by (1):

$\frac{a{r}^4}{ar}=\frac{48}{6}\Rightarrow r^3=8\Rightarrow r=2$arar4​=648​⇒r3=8⇒r=2

Now substitute $r=2$r=2 into equation (1):

$a\left(2\right)=6\Rightarrow a=3$a(2)=6⇒a=3

Step 3: Find the first four terms

Using $a=3$a=3, $r=2$r=2:

• 1st term: $a=3$a=3

• 2nd term: $ar=6$ar=6

• 3rd term: $a{r}^2=12$ar2=12

• 4th term: $a{r}^3=24$ar3=24

Step 4: Sum the first four terms

$S=3+6+12+24=45$S=3+6+12+24=45

✅ Final Answer:

$\boxed{{\displaystyle 45}}$45​

To calculate the UNN (University of Nigeria, Nsukka) Post-UTME aggregate score, you must combine your UTME (Unified Tertiary Matriculation Examination) score, O’Level results, and Post-UTME score. UNN typically uses a weighted average, where UTME and Post-UTME each contribute a percentage, and O’Level results also contribute a smaller percentage.

The Procedure To Calculate UNN Aggregate Score
Take your JAMB mark out of 8
Break down your Post-UTME into half
Combine the two scores obtained as a result of division
This will be your UNN cumulative score
The formula is this:
Aggregate Score = [JAMB Score / 8] + [Post-UTME Score / 2]
Important: UNN will consider 50 percent of what you scored in UTME and 50 percent of your Post UTME. Equally so important

For Example
Imagine you had scored:

JAMB: 240
Post-UTME mark: 60
Calculation:
JAMB: 240 / 8 = 30
Post-UTME: 60/2 =30
Aggregate Score = 30 30 = 60
This implies that your total score is 60 percent.