Answer:
The first '5' terms of the given sequence
[tex]\frac{7}{2} , 4 ,\frac{9}{2} ,5,\frac{11}{2}[/tex]
Step-by-step explanation:
Explanation:-
Given that the [tex]n^{th}[/tex] aₙ = [tex]\frac{N}{2} + 3[/tex]
first term
Put n=1 ⇒ [tex]\frac{1}{2} + 3 = \frac{7}{2}[/tex]
second term
Put n=2 ⇒ [tex]\frac{2}{2} + 3 = 1+3=4[/tex]
Third term
Put n=3 ⇒ [tex]\frac{3}{2} + 3 = \frac{3+6}{2}=\frac{9}{2}[/tex]
Fourth term
Put n=4 ⇒ [tex]\frac{4}{2} + 3 = 2+3 =5[/tex]
Fifth term
Put n=5 ⇒ [tex]\frac{5}{2} + 3 = \frac{5+6}{2}=\frac{11}{2}[/tex]
The first '5' terms of the given sequence
[tex]\frac{7}{2} , 4 ,\frac{9}{2} ,5,\frac{11}{2}[/tex]