Math, asked by ugousia7739, 3 months ago

a= -18, d= 3; h=8
find an​

Answers

Answered by varadad25
6

Answer:

The nᵗʰ term ( tₙ ) of the given AP is 3.

Step-by-step-explanation:

We have given that,

For an arithmetic progression,

  • a = - 18
  • d = 3
  • n = 8

We have to find tₙ i. e. 8ᵗʰ term of the AP.

Now, we know that,

tₙ = a + ( n - 1 ) * d - - - [ Formula ]

⇒ t₈ = ( - 18 ) + ( 8 - 1 ) * 3

⇒ t₈ = ( - 18 ) + 7 * 3

⇒ t₈ = ( - 18 ) + 21

⇒ t₈ = 21 - 18

t₈ = 3

∴ The nᵗʰ term ( tₙ ) of the given AP is 3.

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Additional Information:

1. Arithmetic Progression:

In a sequence, if the common difference between two consecutive terms is constant, then the sequence is called as Arithmetic Progression ( AP ).

2. nᵗʰ term of an AP:

The number of a term in the given AP is called as nᵗʰ term of an AP.

3. Formula for nᵗʰ term of an AP:

  • tₙ = a + ( n - 1 ) * d

4. The sum of the first n terms of an AP:

The addition of either all the terms of a particular terms is called as sum of first n terms of AP.

5. Formula for sum of the first n terms of A.P.:

  • Sₙ = ( n / 2 ) [ 2a + ( n - 1 ) * d ]
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