Question

Find whether 55 is a term of the AP 7,10,13
​

Answer 1

Answer:

$\implies$

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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Answer 2

$\Large{\textsf{\pink{\underline{ANSWER}}}}$

★ 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