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Mathematics

The first term of an A.P. is 7 and its 13th term is 35. The common difference of the A.P. is :

  1. 53\dfrac{5}{3}

  2. 72\dfrac{7}{2}

  3. 83\dfrac{8}{3}

  4. 73\dfrac{7}{3}

AP

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Answer

Given,

a = 7

⇒ a13 = 35

⇒ a + (13 - 1)d = 35

⇒ 7 + 12d = 35

⇒ 12d = 35 - 7

⇒ 12d = 28

⇒ d = 2812\dfrac{28}{12}

⇒ d = 73\dfrac{7}{3}.

Hence, option 4 is the correct option.

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