Find whether 55 is a term of the AP 7,10,13
Answers
Answer:
a=7
d=3
therefore, ATQ; An=55
a+(n-1)d=55
7+(n-1)3=55
(n-1)3=55-7
(n-1)=48/3
n-1=16
=> n=17
therefore, the 17th term is 55
Step-by-step explanation:
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★ GIVEN :
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀a=7
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀d=3
★ TO FIND :
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀17th term
★ SOLUTION :
Therefore, ATQ; An=55
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ a+(n-1)d=55
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 7+(n-1)3=55
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ (n-1)3=55-7
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ (n-1)=48/3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ n-1=16
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ n=17
★ Therefore, the 17th term is 55