Question

if the nth term of an ap an=5n-3then find the 5 th term​

Answer 1

Given

an= 5n-3

To Find

5th term

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Here , we given an equation of nth term and have to find 5th term.

Put various values in place of n will determine its term . e.g., putting n = 1 will determine its first term similarly putting n=5 will determine its 5th term.

an= 5n-3

Put n= 1

➙a₍₁₎= 5(1)-3

➙a₍₁₎= 5-3

➙a₍₁₎= 2

put n = 2

➙a₍₂₎= 5(2)-3

➙a₍₂₎=10-3

➙a₍₂₎= 7

put n = 3

➙a₍₃₎=5(3)-3

➙a₍₃₎=15-3

➙a₍₃₎=12

Put n = 4

➙a₍₄₎= 5(4)-3

➙a₍₄₎=20-3

➙a₍₄₎=17

put n=5

➙a₍₅₎= 5(5)-3

➙a₍₅₎= 25-3

➙a₍₅₎=22

Our AP is 2,7,12,17,22,.

Hence,the 5th term is 22

Answer 2

Here , we given an equation of nth term and have to find 5th term.

Put various values in place of n will determine its term . e.g., putting n = 1 will determine its first term similarly putting n=5 will determine its 5th term.

an= 5n-3

Put n= 1

➙a₍₁₎= 5(1)-3

➙a₍₁₎= 5-3

➙a₍₁₎= 2

put n = 2

➙a₍₂₎= 5(2)-3

➙a₍₂₎=10-3

➙a₍₂₎= 7

put n = 3

➙a₍₃₎=5(3)-3

➙a₍₃₎=15-3

➙a₍₃₎=12

Put n = 4

➙a₍₄₎= 5(4)-3

➙a₍₄₎=20-3

➙a₍₄₎=17

put n=5

➙a₍₅₎= 5(5)-3

➙a₍₅₎= 25-3

➙a₍₅₎=22

Our AP is 2,7,12,17,22,.

Hence,the 5th term is 22