a= -18, d= 3; h=8
find an
Answers
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 ]