Question

The number 593 is a term of the AP fromed by the terms 5,9,13, is it true? Check it and find the no of this term

Answer 1

Answer :-

Yes, 593 is a term of this AP.

Step by step explanation :-

Here, a = 5, d = 4 and An = 593

Here we will apply An = a + (n-1)d

593 = 5 + (n-1)4

593-5 = (n-1)4

588 = (n-1)4

588/4 = (n-1)

147 = n-1

147+1 = n

n = 148.

Hence, 593 is the 148th term of this AP.

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Answer 2

Solution step by step

Given,

An = 593 ,  a = 5  d = 4   n = number of the term

Here we have to find the n.

⇒ An = a + (n-1) d                    ( On putting the given values)

⇒593 = 5 + (n - 1) 4

⇒593 = 5 + 4n -4

⇒593 = 1 + 4n

⇒593 - 1 = 4n

⇒592 = 4n

⇒592/4 = n

⇒148 = n

Yes, 593 is a term of the given AP.

593 is the 148th term of the given AP.

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