Question

Find the 5th term of the last term of finite AP 85,80,75,.......-30​

Answer 1

Answer:

$\bigstar{\bold{Fifth\:term=-10}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• A.P is 85, 80, 75,......-30

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• 5th term from the last of the A.P

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ First reverse the given A.P

  A.P will be,

  -30,.....75,80,85

→ The common difference of the A.P is

   85 - 80 = 5

→ The 5th term of te A.P is given by the formula,

   a₅ = a₁ + ( 5 - 1) × d

→ Substitute the datas,

  a₅ = -30 + 4 × 5

  a₅ = -30 + 20

  a₅ = -10

$\boxed{\bold{Fifth\:term=-10}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ The common difference of an A.P is the difference between its two consecutive terms.

  d = a₂ - a₁

→ The nth term of an A.P is given by

  $a_n=a_1+(n-1)\times d$