Question

The 8th term of an AP is 35 & its 192th term is 317. Find the A​

Answer 1

Answer:

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Answer 2

Answer:

a = 14

Correct Question:

→ The 8th term of an AP is 35 & its 102nd term is 317. Find the value of 'a'​

Step-by-step explanation:

We know that:

aₙ = a + (n - 1) d

According to the Question,

• 8th term = 35

⇒ a₈ = 35

⇒ a + (8 - 1)d = 35

⇒ a + 7d = 35        ----- [Equation 1]

• 102th term = 317

⇒ a₁₉₂ = 317

⇒ a + (192 - 1)d = 317

⇒ a + 101 d = 317          ----- [Equation 2]

[Equation 1] - [Equation 2]

           a + 101 d = 317

     {-}      a + 7d = 35  

                  94 d = 282

⇒ d = 282/94

⇒ d = 3

Now substitute the value of 'd' in Equation 1 to find out the value of 'a'

  a + 7d = 35

⇒ a + 7(3) = 35

⇒ a + 21 = 35

⇒ a = 14

∴ The value of 'a' is 14