If third term and fifth term of an A.P. are 13 and 25 respectively, find

its 7th term.

(A) 30 (B) 33 (C) 37

2 thoughts on “If third term and fifth term of an A.P. are 13 and 25 respectively, find <br /><br />its 7th term.<br /><br />(A) 30 (B) 33 (C) 37”

1. Answer:

   37

   Step-by-step explanation:

   if there is difference of 12 in 3rd and 5th term then difference between 5th and 7th term is 12…

   as it is in ap

   so answer will be 37

   I hope it help u, plz mark this answer as brainliest answer

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2. Solution

   Given :–

   • If third term and fifth term of an A.P. are 13 and 25

   Find :–

   • 7th terms of A.P.

   Explanation

   Let,

   • First terms = a
   • Common Defference = d

   Using Formula

   [tex]\boxed{\underline{\tt{\red{\:T_{n}\:=\:a+(n-1)d}}}}[/tex]

   Where

   • n = Number of terms

   Case 1.

   • If, n = 3

   ==> T3 = a + (3 – 1)d

   ==> 13 = a + 2d___________(1)

   Case 2.

   • If, n = 5

   ==> T5 = a + (5 – 1)d

   ==> 25 = a + 4d_________(2)

   Subtract equ(1) & equ(2)

   ==> -2d = -12

   ==> d = 12/2

   ==> d = 6.

   keep in equ(2)

   ==> a + 4 × 6 = 25

   ==> a = 25 – 24

   ==> a = 1

   So,Now calculate 7th terms

   Where

   • a = 1
   • d = 6

   ==> T7 = a + 6d

   keep Value of a & d

   ==> T7 = 1 + 6 × 6

   ==> T7 = 1 + 36

   ==> T7 = 37

   Hence

   • 7th terms will be = 37

   ____________________

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