Q1.if the nth term of an ap an=5n-3then find the 5 th term.
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Answer:
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Explanation:
Given
an= 5n-3
To Find
5th term
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.
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